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Finding the Fourth Proportional to 513,864.54, 770,801.94 and 229,569.12

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Solution

The fourth proportional to 513,864.54, 770,801.94 and 229,569.12 is: 344,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,864.54 : 770,801.94 = 229,569.12 : x
  2. Step 2: Convert to fraction form
    513,864.54/770,801.94 = 229,569.12/x
  3. Step 3: Cross multiply
    513,864.54x = 770,801.94 × 229,569.12
  4. Step 4: Simplify right side
    513,864.54x = 176,952,323,060.09
  5. Step 5: Solve for x
    x = 176,952,323,060.09/513,864.54
  6. Step 6: Final answer
    x = 344,355.97

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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.