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Finding the Fourth Proportional to 542,775.15, 814,237.07 and 187,693.83

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Solution

The fourth proportional to 542,775.15, 814,237.07 and 187,693.83 is: 281,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,775.15 : 814,237.07 = 187,693.83 : x
  2. Step 2: Convert to fraction form
    542,775.15/814,237.07 = 187,693.83/x
  3. Step 3: Cross multiply
    542,775.15x = 814,237.07 × 187,693.83
  4. Step 4: Simplify right side
    542,775.15x = 152,827,273,257.81
  5. Step 5: Solve for x
    x = 152,827,273,257.81/542,775.15
  6. Step 6: Final answer
    x = 281,566.45

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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.