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Finding the Fourth Proportional to 381,726.54, 572,586.14 and 232,008.16

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Solution

The fourth proportional to 381,726.54, 572,586.14 and 232,008.16 is: 348,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,726.54 : 572,586.14 = 232,008.16 : x
  2. Step 2: Convert to fraction form
    381,726.54/572,586.14 = 232,008.16/x
  3. Step 3: Cross multiply
    381,726.54x = 572,586.14 × 232,008.16
  4. Step 4: Simplify right side
    381,726.54x = 132,844,656,782.90
  5. Step 5: Solve for x
    x = 132,844,656,782.90/381,726.54
  6. Step 6: Final answer
    x = 348,010.01

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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.