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Finding the Fourth Proportional to 462,046.12, 637,631.46 and 258,114.92

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Solution

The fourth proportional to 462,046.12, 637,631.46 and 258,114.92 is: 356,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,046.12 : 637,631.46 = 258,114.92 : x
  2. Step 2: Convert to fraction form
    462,046.12/637,631.46 = 258,114.92/x
  3. Step 3: Cross multiply
    462,046.12x = 637,631.46 × 258,114.92
  4. Step 4: Simplify right side
    462,046.12x = 164,582,193,287.38
  5. Step 5: Solve for x
    x = 164,582,193,287.38/462,046.12
  6. Step 6: Final answer
    x = 356,202.95

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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.