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Finding the Fourth Proportional to 471,553.57, 707,417.84 and 156,013.21

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Solution

The fourth proportional to 471,553.57, 707,417.84 and 156,013.21 is: 234,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,553.57 : 707,417.84 = 156,013.21 : x
  2. Step 2: Convert to fraction form
    471,553.57/707,417.84 = 156,013.21/x
  3. Step 3: Cross multiply
    471,553.57x = 707,417.84 × 156,013.21
  4. Step 4: Simplify right side
    471,553.57x = 110,366,528,029.67
  5. Step 5: Solve for x
    x = 110,366,528,029.67/471,553.57
  6. Step 6: Final answer
    x = 234,048.76

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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.