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Finding the Fourth Proportional to 385,773.60, 578,660.40 and 105,319.20

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Solution

The fourth proportional to 385,773.60, 578,660.40 and 105,319.20 is: 157,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,773.60 : 578,660.40 = 105,319.20 : x
  2. Step 2: Convert to fraction form
    385,773.60/578,660.40 = 105,319.20/x
  3. Step 3: Cross multiply
    385,773.60x = 578,660.40 × 105,319.20
  4. Step 4: Simplify right side
    385,773.60x = 60,944,050,399.68
  5. Step 5: Solve for x
    x = 60,944,050,399.68/385,773.60
  6. Step 6: Final answer
    x = 157,978.80

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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.