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Finding the Fourth Proportional to 291,632.24, 402,452.40 and 157,496.24

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Solution

The fourth proportional to 291,632.24, 402,452.40 and 157,496.24 is: 217,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,632.24 : 402,452.40 = 157,496.24 : x
  2. Step 2: Convert to fraction form
    291,632.24/402,452.40 = 157,496.24/x
  3. Step 3: Cross multiply
    291,632.24x = 402,452.40 × 157,496.24
  4. Step 4: Simplify right side
    291,632.24x = 63,384,739,778.98
  5. Step 5: Solve for x
    x = 63,384,739,778.98/291,632.24
  6. Step 6: Final answer
    x = 217,344.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.