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Finding the Fourth Proportional to 477,525.72, 716,042.10 and 140,522.61

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Solution

The fourth proportional to 477,525.72, 716,042.10 and 140,522.61 is: 210,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,525.72 : 716,042.10 = 140,522.61 : x
  2. Step 2: Convert to fraction form
    477,525.72/716,042.10 = 140,522.61/x
  3. Step 3: Cross multiply
    477,525.72x = 716,042.10 × 140,522.61
  4. Step 4: Simplify right side
    477,525.72x = 100,620,104,761.88
  5. Step 5: Solve for x
    x = 100,620,104,761.88/477,525.72
  6. Step 6: Final answer
    x = 210,711.38

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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.