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Finding the Fourth Proportional to 514,098.40, 709,464.54 and 281,545.72

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Solution

The fourth proportional to 514,098.40, 709,464.54 and 281,545.72 is: 388,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,098.40 : 709,464.54 = 281,545.72 : x
  2. Step 2: Convert to fraction form
    514,098.40/709,464.54 = 281,545.72/x
  3. Step 3: Cross multiply
    514,098.40x = 709,464.54 × 281,545.72
  4. Step 4: Simplify right side
    514,098.40x = 199,746,704,728.77
  5. Step 5: Solve for x
    x = 199,746,704,728.77/514,098.40
  6. Step 6: Final answer
    x = 388,537.88

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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.