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Finding the Fourth Proportional to 422,703.52, 634,138.16 and 156,466.28

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Solution

The fourth proportional to 422,703.52, 634,138.16 and 156,466.28 is: 234,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,703.52 : 634,138.16 = 156,466.28 : x
  2. Step 2: Convert to fraction form
    422,703.52/634,138.16 = 156,466.28/x
  3. Step 3: Cross multiply
    422,703.52x = 634,138.16 × 156,466.28
  4. Step 4: Simplify right side
    422,703.52x = 99,221,238,901.24
  5. Step 5: Solve for x
    x = 99,221,238,901.24/422,703.52
  6. Step 6: Final answer
    x = 234,730.10

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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.