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Finding the Fourth Proportional to 461,685.12, 692,838.72 and 181,169.28

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Solution

The fourth proportional to 461,685.12, 692,838.72 and 181,169.28 is: 271,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,685.12 : 692,838.72 = 181,169.28 : x
  2. Step 2: Convert to fraction form
    461,685.12/692,838.72 = 181,169.28/x
  3. Step 3: Cross multiply
    461,685.12x = 692,838.72 × 181,169.28
  4. Step 4: Simplify right side
    461,685.12x = 125,521,092,058.52
  5. Step 5: Solve for x
    x = 125,521,092,058.52/461,685.12
  6. Step 6: Final answer
    x = 271,875.97

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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.