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Finding the Fourth Proportional to 466,735.34, 700,151.66 and 178,546.42

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Solution

The fourth proportional to 466,735.34, 700,151.66 and 178,546.42 is: 267,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,735.34 : 700,151.66 = 178,546.42 : x
  2. Step 2: Convert to fraction form
    466,735.34/700,151.66 = 178,546.42/x
  3. Step 3: Cross multiply
    466,735.34x = 700,151.66 × 178,546.42
  4. Step 4: Simplify right side
    466,735.34x = 125,009,572,350.06
  5. Step 5: Solve for x
    x = 125,009,572,350.06/466,735.34
  6. Step 6: Final answer
    x = 267,838.24

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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.