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Finding the Fourth Proportional to 502,346.96, 753,236.76 and 165,296.72

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Solution

The fourth proportional to 502,346.96, 753,236.76 and 165,296.72 is: 247,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,346.96 : 753,236.76 = 165,296.72 : x
  2. Step 2: Convert to fraction form
    502,346.96/753,236.76 = 165,296.72/x
  3. Step 3: Cross multiply
    502,346.96x = 753,236.76 × 165,296.72
  4. Step 4: Simplify right side
    502,346.96x = 124,507,565,811.43
  5. Step 5: Solve for x
    x = 124,507,565,811.43/502,346.96
  6. Step 6: Final answer
    x = 247,851.74

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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.