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Finding the Fourth Proportional to 542,743.90, 813,970.05 and 187,866.70

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Solution

The fourth proportional to 542,743.90, 813,970.05 and 187,866.70 is: 281,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,743.90 : 813,970.05 = 187,866.70 : x
  2. Step 2: Convert to fraction form
    542,743.90/813,970.05 = 187,866.70/x
  3. Step 3: Cross multiply
    542,743.90x = 813,970.05 × 187,866.70
  4. Step 4: Simplify right side
    542,743.90x = 152,917,867,192.34
  5. Step 5: Solve for x
    x = 152,917,867,192.34/542,743.90
  6. Step 6: Final answer
    x = 281,749.58

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1.5x scale

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.