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Finding the Fourth Proportional to 389,901.84, 583,522.04 and 326,793.20

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Solution

The fourth proportional to 389,901.84, 583,522.04 and 326,793.20 is: 489,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,901.84 : 583,522.04 = 326,793.20 : x
  2. Step 2: Convert to fraction form
    389,901.84/583,522.04 = 326,793.20/x
  3. Step 3: Cross multiply
    389,901.84x = 583,522.04 × 326,793.20
  4. Step 4: Simplify right side
    389,901.84x = 190,691,034,722.13
  5. Step 5: Solve for x
    x = 190,691,034,722.13/389,901.84
  6. Step 6: Final answer
    x = 489,074.47

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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.