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Finding the Fourth Proportional to 387,807.60, 582,148.80 and 299,452.80

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Solution

The fourth proportional to 387,807.60, 582,148.80 and 299,452.80 is: 449,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,807.60 : 582,148.80 = 299,452.80 : x
  2. Step 2: Convert to fraction form
    387,807.60/582,148.80 = 299,452.80/x
  3. Step 3: Cross multiply
    387,807.60x = 582,148.80 × 299,452.80
  4. Step 4: Simplify right side
    387,807.60x = 174,326,088,176.64
  5. Step 5: Solve for x
    x = 174,326,088,176.64/387,807.60
  6. Step 6: Final answer
    x = 449,516.95

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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.