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Finding the Fourth Proportional to 378,164.40, 567,246.60 and 156,548.40

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Solution

The fourth proportional to 378,164.40, 567,246.60 and 156,548.40 is: 234,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,164.40 : 567,246.60 = 156,548.40 : x
  2. Step 2: Convert to fraction form
    378,164.40/567,246.60 = 156,548.40/x
  3. Step 3: Cross multiply
    378,164.40x = 567,246.60 × 156,548.40
  4. Step 4: Simplify right side
    378,164.40x = 88,801,547,635.44
  5. Step 5: Solve for x
    x = 88,801,547,635.44/378,164.40
  6. Step 6: Final answer
    x = 234,822.60

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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.