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Finding the Fourth Proportional to 426,142.74, 639,047.94 and 159,757.86

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Solution

The fourth proportional to 426,142.74, 639,047.94 and 159,757.86 is: 239,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,142.74 : 639,047.94 = 159,757.86 : x
  2. Step 2: Convert to fraction form
    426,142.74/639,047.94 = 159,757.86/x
  3. Step 3: Cross multiply
    426,142.74x = 639,047.94 × 159,757.86
  4. Step 4: Simplify right side
    426,142.74x = 102,092,931,331.81
  5. Step 5: Solve for x
    x = 102,092,931,331.81/426,142.74
  6. Step 6: Final answer
    x = 239,574.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.