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Finding the Fourth Proportional to 410,052.90, 615,079.35 and 365,816.10

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Solution

The fourth proportional to 410,052.90, 615,079.35 and 365,816.10 is: 548,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,052.90 : 615,079.35 = 365,816.10 : x
  2. Step 2: Convert to fraction form
    410,052.90/615,079.35 = 365,816.10/x
  3. Step 3: Cross multiply
    410,052.90x = 615,079.35 × 365,816.10
  4. Step 4: Simplify right side
    410,052.90x = 225,005,929,007.54
  5. Step 5: Solve for x
    x = 225,005,929,007.54/410,052.90
  6. Step 6: Final answer
    x = 548,724.15

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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.