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Finding the Fourth Proportional to 502,750.27, 753,965.15 and 165,728.10

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Solution

The fourth proportional to 502,750.27, 753,965.15 and 165,728.10 is: 248,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,750.27 : 753,965.15 = 165,728.10 : x
  2. Step 2: Convert to fraction form
    502,750.27/753,965.15 = 165,728.10/x
  3. Step 3: Cross multiply
    502,750.27x = 753,965.15 × 165,728.10
  4. Step 4: Simplify right side
    502,750.27x = 124,953,210,947.08
  5. Step 5: Solve for x
    x = 124,953,210,947.08/502,750.27
  6. Step 6: Final answer
    x = 248,539.32

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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.