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Finding the Fourth Proportional to 386,140.70, 579,211.05 and 327,820.70

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Solution

The fourth proportional to 386,140.70, 579,211.05 and 327,820.70 is: 491,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,140.70 : 579,211.05 = 327,820.70 : x
  2. Step 2: Convert to fraction form
    386,140.70/579,211.05 = 327,820.70/x
  3. Step 3: Cross multiply
    386,140.70x = 579,211.05 × 327,820.70
  4. Step 4: Simplify right side
    386,140.70x = 189,877,371,858.74
  5. Step 5: Solve for x
    x = 189,877,371,858.74/386,140.70
  6. Step 6: Final answer
    x = 491,731.05

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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.