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Finding the Fourth Proportional to 459,545.81, 688,898.52 and 193,325.13

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Solution

The fourth proportional to 459,545.81, 688,898.52 and 193,325.13 is: 289,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,545.81 : 688,898.52 = 193,325.13 : x
  2. Step 2: Convert to fraction form
    459,545.81/688,898.52 = 193,325.13/x
  3. Step 3: Cross multiply
    459,545.81x = 688,898.52 × 193,325.13
  4. Step 4: Simplify right side
    459,545.81x = 133,181,395,935.81
  5. Step 5: Solve for x
    x = 133,181,395,935.81/459,545.81
  6. Step 6: Final answer
    x = 289,810.93

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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.