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Finding the Fourth Proportional to 461,377.92, 692,062.73 and 145,834.93

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Solution

The fourth proportional to 461,377.92, 692,062.73 and 145,834.93 is: 218,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,377.92 : 692,062.73 = 145,834.93 : x
  2. Step 2: Convert to fraction form
    461,377.92/692,062.73 = 145,834.93/x
  3. Step 3: Cross multiply
    461,377.92x = 692,062.73 × 145,834.93
  4. Step 4: Simplify right side
    461,377.92x = 100,926,915,595.67
  5. Step 5: Solve for x
    x = 100,926,915,595.67/461,377.92
  6. Step 6: Final answer
    x = 218,751.07

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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.