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Finding the Fourth Proportional to 532,050, 798,225 and 216,733.20

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Solution

The fourth proportional to 532,050, 798,225 and 216,733.20 is: 325,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,050 : 798,225 = 216,733.20 : x
  2. Step 2: Convert to fraction form
    532,050/798,225 = 216,733.20/x
  3. Step 3: Cross multiply
    532,050x = 798,225 × 216,733.20
  4. Step 4: Simplify right side
    532,050x = 173,001,858,570
  5. Step 5: Solve for x
    x = 173,001,858,570/532,050
  6. Step 6: Final answer
    x = 325,160.90

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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.