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Finding the Fourth Proportional to 458,737.81, 688,191.41 and 151,007.18

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Solution

The fourth proportional to 458,737.81, 688,191.41 and 151,007.18 is: 226,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,737.81 : 688,191.41 = 151,007.18 : x
  2. Step 2: Convert to fraction form
    458,737.81/688,191.41 = 151,007.18/x
  3. Step 3: Cross multiply
    458,737.81x = 688,191.41 × 151,007.18
  4. Step 4: Simplify right side
    458,737.81x = 103,921,843,641.60
  5. Step 5: Solve for x
    x = 103,921,843,641.60/458,737.81
  6. Step 6: Final answer
    x = 226,538.65

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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.