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Finding the Fourth Proportional to 417,560.93, 626,335.92 and 102,020.57

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Solution

The fourth proportional to 417,560.93, 626,335.92 and 102,020.57 is: 153,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,560.93 : 626,335.92 = 102,020.57 : x
  2. Step 2: Convert to fraction form
    417,560.93/626,335.92 = 102,020.57/x
  3. Step 3: Cross multiply
    417,560.93x = 626,335.92 × 102,020.57
  4. Step 4: Simplify right side
    417,560.93x = 63,899,144,438.19
  5. Step 5: Solve for x
    x = 63,899,144,438.19/417,560.93
  6. Step 6: Final answer
    x = 153,029.51

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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.