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Finding the Fourth Proportional to 509,809.11, 703,570.92 and 337,430.10

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Solution

The fourth proportional to 509,809.11, 703,570.92 and 337,430.10 is: 465,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,809.11 : 703,570.92 = 337,430.10 : x
  2. Step 2: Convert to fraction form
    509,809.11/703,570.92 = 337,430.10/x
  3. Step 3: Cross multiply
    509,809.11x = 703,570.92 × 337,430.10
  4. Step 4: Simplify right side
    509,809.11x = 237,406,005,892.69
  5. Step 5: Solve for x
    x = 237,406,005,892.69/509,809.11
  6. Step 6: Final answer
    x = 465,676.27

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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.