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Finding the Fourth Proportional to 477,552.57, 716,082.30 and 140,549.43

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Solution

The fourth proportional to 477,552.57, 716,082.30 and 140,549.43 is: 210,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,552.57 : 716,082.30 = 140,549.43 : x
  2. Step 2: Convert to fraction form
    477,552.57/716,082.30 = 140,549.43/x
  3. Step 3: Cross multiply
    477,552.57x = 716,082.30 × 140,549.43
  4. Step 4: Simplify right side
    477,552.57x = 100,644,959,098.09
  5. Step 5: Solve for x
    x = 100,644,959,098.09/477,552.57
  6. Step 6: Final answer
    x = 210,751.58

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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.