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Finding the Fourth Proportional to 392,298.08, 588,390.96 and 126,024.32

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Solution

The fourth proportional to 392,298.08, 588,390.96 and 126,024.32 is: 189,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,298.08 : 588,390.96 = 126,024.32 : x
  2. Step 2: Convert to fraction form
    392,298.08/588,390.96 = 126,024.32/x
  3. Step 3: Cross multiply
    392,298.08x = 588,390.96 × 126,024.32
  4. Step 4: Simplify right side
    392,298.08x = 74,151,570,628.15
  5. Step 5: Solve for x
    x = 74,151,570,628.15/392,298.08
  6. Step 6: Final answer
    x = 189,018.44

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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.