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Finding the Fourth Proportional to 502,407.40, 753,524.70 and 186,701.80

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Solution

The fourth proportional to 502,407.40, 753,524.70 and 186,701.80 is: 280,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,407.40 : 753,524.70 = 186,701.80 : x
  2. Step 2: Convert to fraction form
    502,407.40/753,524.70 = 186,701.80/x
  3. Step 3: Cross multiply
    502,407.40x = 753,524.70 × 186,701.80
  4. Step 4: Simplify right side
    502,407.40x = 140,684,417,834.46
  5. Step 5: Solve for x
    x = 140,684,417,834.46/502,407.40
  6. Step 6: Final answer
    x = 280,020.59

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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.