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Finding the Fourth Proportional to 514,063.38, 709,400.13 and 284,598.66

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Solution

The fourth proportional to 514,063.38, 709,400.13 and 284,598.66 is: 392,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,063.38 : 709,400.13 = 284,598.66 : x
  2. Step 2: Convert to fraction form
    514,063.38/709,400.13 = 284,598.66/x
  3. Step 3: Cross multiply
    514,063.38x = 709,400.13 × 284,598.66
  4. Step 4: Simplify right side
    514,063.38x = 201,894,326,401.83
  5. Step 5: Solve for x
    x = 201,894,326,401.83/514,063.38
  6. Step 6: Final answer
    x = 392,742.09

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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.