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Finding the Fourth Proportional to 308,038.52, 461,006.40 and 258,174.92

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Solution

The fourth proportional to 308,038.52, 461,006.40 and 258,174.92 is: 386,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,038.52 : 461,006.40 = 258,174.92 : x
  2. Step 2: Convert to fraction form
    308,038.52/461,006.40 = 258,174.92/x
  3. Step 3: Cross multiply
    308,038.52x = 461,006.40 × 258,174.92
  4. Step 4: Simplify right side
    308,038.52x = 119,020,290,439.49
  5. Step 5: Solve for x
    x = 119,020,290,439.49/308,038.52
  6. Step 6: Final answer
    x = 386,381.19

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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.