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Finding the Fourth Proportional to 614,710.92, 922,066.40 and 165,432.80

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Solution

The fourth proportional to 614,710.92, 922,066.40 and 165,432.80 is: 248,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,710.92 : 922,066.40 = 165,432.80 : x
  2. Step 2: Convert to fraction form
    614,710.92/922,066.40 = 165,432.80/x
  3. Step 3: Cross multiply
    614,710.92x = 922,066.40 × 165,432.80
  4. Step 4: Simplify right side
    614,710.92x = 152,540,026,337.92
  5. Step 5: Solve for x
    x = 152,540,026,337.92/614,710.92
  6. Step 6: Final answer
    x = 248,149.21

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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.