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Finding the Fourth Proportional to 705,073.86, 973,155.33 and 433,284.30

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Solution

The fourth proportional to 705,073.86, 973,155.33 and 433,284.30 is: 598,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,073.86 : 973,155.33 = 433,284.30 : x
  2. Step 2: Convert to fraction form
    705,073.86/973,155.33 = 433,284.30/x
  3. Step 3: Cross multiply
    705,073.86x = 973,155.33 × 433,284.30
  4. Step 4: Simplify right side
    705,073.86x = 421,652,925,950.32
  5. Step 5: Solve for x
    x = 421,652,925,950.32/705,073.86
  6. Step 6: Final answer
    x = 598,026.60

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.