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Finding the Fourth Proportional to 564,604.30, 847,036.29 and 165,235.66

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Solution

The fourth proportional to 564,604.30, 847,036.29 and 165,235.66 is: 247,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,604.30 : 847,036.29 = 165,235.66 : x
  2. Step 2: Convert to fraction form
    564,604.30/847,036.29 = 165,235.66/x
  3. Step 3: Cross multiply
    564,604.30x = 847,036.29 × 165,235.66
  4. Step 4: Simplify right side
    564,604.30x = 139,960,600,422.10
  5. Step 5: Solve for x
    x = 139,960,600,422.10/564,604.30
  6. Step 6: Final answer
    x = 247,891.49

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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.