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Finding the Fourth Proportional to 517,327.80, 776,024.46 and 162,355.84

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Solution

The fourth proportional to 517,327.80, 776,024.46 and 162,355.84 is: 243,544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,327.80 : 776,024.46 = 162,355.84 : x
  2. Step 2: Convert to fraction form
    517,327.80/776,024.46 = 162,355.84/x
  3. Step 3: Cross multiply
    517,327.80x = 776,024.46 × 162,355.84
  4. Step 4: Simplify right side
    517,327.80x = 125,992,103,063.85
  5. Step 5: Solve for x
    x = 125,992,103,063.85/517,327.80
  6. Step 6: Final answer
    x = 243,544.04

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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.