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Finding the Fourth Proportional to 514,545.75, 710,095.14 and 299,651.13

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Solution

The fourth proportional to 514,545.75, 710,095.14 and 299,651.13 is: 413,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,545.75 : 710,095.14 = 299,651.13 : x
  2. Step 2: Convert to fraction form
    514,545.75/710,095.14 = 299,651.13/x
  3. Step 3: Cross multiply
    514,545.75x = 710,095.14 × 299,651.13
  4. Step 4: Simplify right side
    514,545.75x = 212,780,811,108.51
  5. Step 5: Solve for x
    x = 212,780,811,108.51/514,545.75
  6. Step 6: Final answer
    x = 413,531.37

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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.