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Finding the Fourth Proportional to 564,752.64, 847,129.28 and 354,538.24

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Solution

The fourth proportional to 564,752.64, 847,129.28 and 354,538.24 is: 531,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,752.64 : 847,129.28 = 354,538.24 : x
  2. Step 2: Convert to fraction form
    564,752.64/847,129.28 = 354,538.24/x
  3. Step 3: Cross multiply
    564,752.64x = 847,129.28 × 354,538.24
  4. Step 4: Simplify right side
    564,752.64x = 300,339,723,983.67
  5. Step 5: Solve for x
    x = 300,339,723,983.67/564,752.64
  6. Step 6: Final answer
    x = 531,807.56

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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.