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Finding the Fourth Proportional to 462,122.92, 637,666.54 and 258,148.62

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Solution

The fourth proportional to 462,122.92, 637,666.54 and 258,148.62 is: 356,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,122.92 : 637,666.54 = 258,148.62 : x
  2. Step 2: Convert to fraction form
    462,122.92/637,666.54 = 258,148.62/x
  3. Step 3: Cross multiply
    462,122.92x = 637,666.54 × 258,148.62
  4. Step 4: Simplify right side
    462,122.92x = 164,612,737,321.18
  5. Step 5: Solve for x
    x = 164,612,737,321.18/462,122.92
  6. Step 6: Final answer
    x = 356,209.85

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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.