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Finding the Fourth Proportional to 580,237.31, 870,353.53 and 327,402.70

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Solution

The fourth proportional to 580,237.31, 870,353.53 and 327,402.70 is: 491,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,237.31 : 870,353.53 = 327,402.70 : x
  2. Step 2: Convert to fraction form
    580,237.31/870,353.53 = 327,402.70/x
  3. Step 3: Cross multiply
    580,237.31x = 870,353.53 × 327,402.70
  4. Step 4: Simplify right side
    580,237.31x = 284,956,095,676.53
  5. Step 5: Solve for x
    x = 284,956,095,676.53/580,237.31
  6. Step 6: Final answer
    x = 491,102.68

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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.