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Finding the Fourth Proportional to 426,114.59, 639,005.76 and 159,729.75

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Solution

The fourth proportional to 426,114.59, 639,005.76 and 159,729.75 is: 239,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,114.59 : 639,005.76 = 159,729.75 : x
  2. Step 2: Convert to fraction form
    426,114.59/639,005.76 = 159,729.75/x
  3. Step 3: Cross multiply
    426,114.59x = 639,005.76 × 159,729.75
  4. Step 4: Simplify right side
    426,114.59x = 102,068,230,293.36
  5. Step 5: Solve for x
    x = 102,068,230,293.36/426,114.59
  6. Step 6: Final answer
    x = 239,532.36

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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.