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Finding the Fourth Proportional to 384,176.92, 530,233.53 and 229,138.14

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Solution

The fourth proportional to 384,176.92, 530,233.53 and 229,138.14 is: 316,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,176.92 : 530,233.53 = 229,138.14 : x
  2. Step 2: Convert to fraction form
    384,176.92/530,233.53 = 229,138.14/x
  3. Step 3: Cross multiply
    384,176.92x = 530,233.53 × 229,138.14
  4. Step 4: Simplify right side
    384,176.92x = 121,496,724,829.83
  5. Step 5: Solve for x
    x = 121,496,724,829.83/384,176.92
  6. Step 6: Final answer
    x = 316,252.01

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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.