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Finding the Fourth Proportional to 532,220, 798,163.96 and 177,151

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Solution

The fourth proportional to 532,220, 798,163.96 and 177,151 is: 265,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,220 : 798,163.96 = 177,151 : x
  2. Step 2: Convert to fraction form
    532,220/798,163.96 = 177,151/x
  3. Step 3: Cross multiply
    532,220x = 798,163.96 × 177,151
  4. Step 4: Simplify right side
    532,220x = 141,395,543,677.96
  5. Step 5: Solve for x
    x = 141,395,543,677.96/532,220
  6. Step 6: Final answer
    x = 265,671.23

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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.