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Finding the Fourth Proportional to 477,695.87, 716,525.27 and 178,175.89

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Solution

The fourth proportional to 477,695.87, 716,525.27 and 178,175.89 is: 267,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,695.87 : 716,525.27 = 178,175.89 : x
  2. Step 2: Convert to fraction form
    477,695.87/716,525.27 = 178,175.89/x
  3. Step 3: Cross multiply
    477,695.87x = 716,525.27 × 178,175.89
  4. Step 4: Simplify right side
    477,695.87x = 127,667,527,689.74
  5. Step 5: Solve for x
    x = 127,667,527,689.74/477,695.87
  6. Step 6: Final answer
    x = 267,256.92

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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.