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Finding the Fourth Proportional to 564,792.96, 847,163.52 and 190,819.20

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Solution

The fourth proportional to 564,792.96, 847,163.52 and 190,819.20 is: 286,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,792.96 : 847,163.52 = 190,819.20 : x
  2. Step 2: Convert to fraction form
    564,792.96/847,163.52 = 190,819.20/x
  3. Step 3: Cross multiply
    564,792.96x = 847,163.52 × 190,819.20
  4. Step 4: Simplify right side
    564,792.96x = 161,655,065,155.58
  5. Step 5: Solve for x
    x = 161,655,065,155.58/564,792.96
  6. Step 6: Final answer
    x = 286,220.04

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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.