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Finding the Fourth Proportional to 502,504.74, 753,595.05 and 165,465.24

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Solution

The fourth proportional to 502,504.74, 753,595.05 and 165,465.24 is: 248,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,504.74 : 753,595.05 = 165,465.24 : x
  2. Step 2: Convert to fraction form
    502,504.74/753,595.05 = 165,465.24/x
  3. Step 3: Cross multiply
    502,504.74x = 753,595.05 × 165,465.24
  4. Step 4: Simplify right side
    502,504.74x = 124,693,785,811.06
  5. Step 5: Solve for x
    x = 124,693,785,811.06/502,504.74
  6. Step 6: Final answer
    x = 248,144.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.