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Finding the Fourth Proportional to 502,613.17, 753,909.39 and 165,674.05

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Solution

The fourth proportional to 502,613.17, 753,909.39 and 165,674.05 is: 248,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,613.17 : 753,909.39 = 165,674.05 : x
  2. Step 2: Convert to fraction form
    502,613.17/753,909.39 = 165,674.05/x
  3. Step 3: Cross multiply
    502,613.17x = 753,909.39 × 165,674.05
  4. Step 4: Simplify right side
    502,613.17x = 124,903,221,974.33
  5. Step 5: Solve for x
    x = 124,903,221,974.33/502,613.17
  6. Step 6: Final answer
    x = 248,507.66

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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.