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Finding the Fourth Proportional to 291,724.26, 402,583.80 and 162,658.92

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Solution

The fourth proportional to 291,724.26, 402,583.80 and 162,658.92 is: 224,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,724.26 : 402,583.80 = 162,658.92 : x
  2. Step 2: Convert to fraction form
    291,724.26/402,583.80 = 162,658.92/x
  3. Step 3: Cross multiply
    291,724.26x = 402,583.80 × 162,658.92
  4. Step 4: Simplify right side
    291,724.26x = 65,483,846,117.50
  5. Step 5: Solve for x
    x = 65,483,846,117.50/291,724.26
  6. Step 6: Final answer
    x = 224,471.72

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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.