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Finding the Fourth Proportional to 534,953.70, 801,988.29 and 417,147.30

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Solution

The fourth proportional to 534,953.70, 801,988.29 and 417,147.30 is: 625,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,953.70 : 801,988.29 = 417,147.30 : x
  2. Step 2: Convert to fraction form
    534,953.70/801,988.29 = 417,147.30/x
  3. Step 3: Cross multiply
    534,953.70x = 801,988.29 × 417,147.30
  4. Step 4: Simplify right side
    534,953.70x = 334,547,249,805.12
  5. Step 5: Solve for x
    x = 334,547,249,805.12/534,953.70
  6. Step 6: Final answer
    x = 625,376.08

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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.