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Finding the Fourth Proportional to 376,005.60, 564,008.40 and 234,079.20

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Solution

The fourth proportional to 376,005.60, 564,008.40 and 234,079.20 is: 351,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,005.60 : 564,008.40 = 234,079.20 : x
  2. Step 2: Convert to fraction form
    376,005.60/564,008.40 = 234,079.20/x
  3. Step 3: Cross multiply
    376,005.60x = 564,008.40 × 234,079.20
  4. Step 4: Simplify right side
    376,005.60x = 132,022,635,065.28
  5. Step 5: Solve for x
    x = 132,022,635,065.28/376,005.60
  6. Step 6: Final answer
    x = 351,118.80

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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.