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Finding the Fourth Proportional to 442,902.16, 664,548.48 and 232,491.76

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Solution

The fourth proportional to 442,902.16, 664,548.48 and 232,491.76 is: 348,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,902.16 : 664,548.48 = 232,491.76 : x
  2. Step 2: Convert to fraction form
    442,902.16/664,548.48 = 232,491.76/x
  3. Step 3: Cross multiply
    442,902.16x = 664,548.48 × 232,491.76
  4. Step 4: Simplify right side
    442,902.16x = 154,502,045,720.53
  5. Step 5: Solve for x
    x = 154,502,045,720.53/442,902.16
  6. Step 6: Final answer
    x = 348,840.13

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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.