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Finding the Fourth Proportional to 321,856.34, 482,829.61 and 97,191.29

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Solution

The fourth proportional to 321,856.34, 482,829.61 and 97,191.29 is: 145,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,856.34 : 482,829.61 = 97,191.29 : x
  2. Step 2: Convert to fraction form
    321,856.34/482,829.61 = 97,191.29/x
  3. Step 3: Cross multiply
    321,856.34x = 482,829.61 × 97,191.29
  4. Step 4: Simplify right side
    321,856.34x = 46,926,833,792.43
  5. Step 5: Solve for x
    x = 46,926,833,792.43/321,856.34
  6. Step 6: Final answer
    x = 145,800.56

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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.