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Finding the Fourth Proportional to 522,083.90, 783,125.85 and 433,514.30

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Solution

The fourth proportional to 522,083.90, 783,125.85 and 433,514.30 is: 650,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,083.90 : 783,125.85 = 433,514.30 : x
  2. Step 2: Convert to fraction form
    522,083.90/783,125.85 = 433,514.30/x
  3. Step 3: Cross multiply
    522,083.90x = 783,125.85 × 433,514.30
  4. Step 4: Simplify right side
    522,083.90x = 339,496,254,674.66
  5. Step 5: Solve for x
    x = 339,496,254,674.66/522,083.90
  6. Step 6: Final answer
    x = 650,271.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.