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Finding the Fourth Proportional to 407,545.59, 610,523.14 and 266,877.75

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Solution

The fourth proportional to 407,545.59, 610,523.14 and 266,877.75 is: 399,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,545.59 : 610,523.14 = 266,877.75 : x
  2. Step 2: Convert to fraction form
    407,545.59/610,523.14 = 266,877.75/x
  3. Step 3: Cross multiply
    407,545.59x = 610,523.14 × 266,877.75
  4. Step 4: Simplify right side
    407,545.59x = 162,935,041,926.14
  5. Step 5: Solve for x
    x = 162,935,041,926.14/407,545.59
  6. Step 6: Final answer
    x = 399,795.87

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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.