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Finding the Fourth Proportional to 434,101.60, 650,374.80 and 267,695.20

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Solution

The fourth proportional to 434,101.60, 650,374.80 and 267,695.20 is: 401,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,101.60 : 650,374.80 = 267,695.20 : x
  2. Step 2: Convert to fraction form
    434,101.60/650,374.80 = 267,695.20/x
  3. Step 3: Cross multiply
    434,101.60x = 650,374.80 × 267,695.20
  4. Step 4: Simplify right side
    434,101.60x = 174,102,212,160.96
  5. Step 5: Solve for x
    x = 174,102,212,160.96/434,101.60
  6. Step 6: Final answer
    x = 401,063.28

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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.