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Finding the Fourth Proportional to 305,886.50, 458,358.17 and 163,750.64

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Solution

The fourth proportional to 305,886.50, 458,358.17 and 163,750.64 is: 245,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,886.50 : 458,358.17 = 163,750.64 : x
  2. Step 2: Convert to fraction form
    305,886.50/458,358.17 = 163,750.64/x
  3. Step 3: Cross multiply
    305,886.50x = 458,358.17 × 163,750.64
  4. Step 4: Simplify right side
    305,886.50x = 75,056,443,686.73
  5. Step 5: Solve for x
    x = 75,056,443,686.73/305,886.50
  6. Step 6: Final answer
    x = 245,373.51

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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.