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Finding the Fourth Proportional to 291,460.52, 402,209.46 and 162,398.48

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Solution

The fourth proportional to 291,460.52, 402,209.46 and 162,398.48 is: 224,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,460.52 : 402,209.46 = 162,398.48 : x
  2. Step 2: Convert to fraction form
    291,460.52/402,209.46 = 162,398.48/x
  3. Step 3: Cross multiply
    291,460.52x = 402,209.46 × 162,398.48
  4. Step 4: Simplify right side
    291,460.52x = 65,318,203,445.75
  5. Step 5: Solve for x
    x = 65,318,203,445.75/291,460.52
  6. Step 6: Final answer
    x = 224,106.52

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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.