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Finding the Fourth Proportional to 564,294.32, 846,490.68 and 185,101.32

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Solution

The fourth proportional to 564,294.32, 846,490.68 and 185,101.32 is: 277,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,294.32 : 846,490.68 = 185,101.32 : x
  2. Step 2: Convert to fraction form
    564,294.32/846,490.68 = 185,101.32/x
  3. Step 3: Cross multiply
    564,294.32x = 846,490.68 × 185,101.32
  4. Step 4: Simplify right side
    564,294.32x = 156,686,542,235.70
  5. Step 5: Solve for x
    x = 156,686,542,235.70/564,294.32
  6. Step 6: Final answer
    x = 277,668.12

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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.