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Finding the Fourth Proportional to 426,406.92, 639,493.62 and 160,146.84

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Solution

The fourth proportional to 426,406.92, 639,493.62 and 160,146.84 is: 240,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,406.92 : 639,493.62 = 160,146.84 : x
  2. Step 2: Convert to fraction form
    426,406.92/639,493.62 = 160,146.84/x
  3. Step 3: Cross multiply
    426,406.92x = 639,493.62 × 160,146.84
  4. Step 4: Simplify right side
    426,406.92x = 102,412,882,443.16
  5. Step 5: Solve for x
    x = 102,412,882,443.16/426,406.92
  6. Step 6: Final answer
    x = 240,176.41

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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.