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Finding the Fourth Proportional to 506,191.34, 758,999.46 and 206,320.70

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Solution

The fourth proportional to 506,191.34, 758,999.46 and 206,320.70 is: 309,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,191.34 : 758,999.46 = 206,320.70 : x
  2. Step 2: Convert to fraction form
    506,191.34/758,999.46 = 206,320.70/x
  3. Step 3: Cross multiply
    506,191.34x = 758,999.46 × 206,320.70
  4. Step 4: Simplify right side
    506,191.34x = 156,597,299,886.82
  5. Step 5: Solve for x
    x = 156,597,299,886.82/506,191.34
  6. Step 6: Final answer
    x = 309,363.85

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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.