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Finding the Fourth Proportional to 406,083.30, 560,207.25 and 262,889.70

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Solution

The fourth proportional to 406,083.30, 560,207.25 and 262,889.70 is: 362,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,083.30 : 560,207.25 = 262,889.70 : x
  2. Step 2: Convert to fraction form
    406,083.30/560,207.25 = 262,889.70/x
  3. Step 3: Cross multiply
    406,083.30x = 560,207.25 × 262,889.70
  4. Step 4: Simplify right side
    406,083.30x = 147,272,715,890.33
  5. Step 5: Solve for x
    x = 147,272,715,890.33/406,083.30
  6. Step 6: Final answer
    x = 362,666.27

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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.