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Finding the Fourth Proportional to 542,058.90, 813,217.54 and 187,076

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Solution

The fourth proportional to 542,058.90, 813,217.54 and 187,076 is: 280,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,058.90 : 813,217.54 = 187,076 : x
  2. Step 2: Convert to fraction form
    542,058.90/813,217.54 = 187,076/x
  3. Step 3: Cross multiply
    542,058.90x = 813,217.54 × 187,076
  4. Step 4: Simplify right side
    542,058.90x = 152,133,484,513.04
  5. Step 5: Solve for x
    x = 152,133,484,513.04/542,058.90
  6. Step 6: Final answer
    x = 280,658.59

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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.