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Finding the Fourth Proportional to 514,044.38, 709,381.15 and 287,689.88

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Solution

The fourth proportional to 514,044.38, 709,381.15 and 287,689.88 is: 397,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,044.38 : 709,381.15 = 287,689.88 : x
  2. Step 2: Convert to fraction form
    514,044.38/709,381.15 = 287,689.88/x
  3. Step 3: Cross multiply
    514,044.38x = 709,381.15 × 287,689.88
  4. Step 4: Simplify right side
    514,044.38x = 204,081,778,971.99
  5. Step 5: Solve for x
    x = 204,081,778,971.99/514,044.38
  6. Step 6: Final answer
    x = 397,011.98

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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.