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Finding the Fourth Proportional to 291,573.50, 402,375.48 and 162,508.41

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Solution

The fourth proportional to 291,573.50, 402,375.48 and 162,508.41 is: 224,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,573.50 : 402,375.48 = 162,508.41 : x
  2. Step 2: Convert to fraction form
    291,573.50/402,375.48 = 162,508.41/x
  3. Step 3: Cross multiply
    291,573.50x = 402,375.48 × 162,508.41
  4. Step 4: Simplify right side
    291,573.50x = 65,389,397,465.91
  5. Step 5: Solve for x
    x = 65,389,397,465.91/291,573.50
  6. Step 6: Final answer
    x = 224,263.86

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Why These Related Problems?

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