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Finding the Fourth Proportional to 532,028, 798,192 and 216,711.20

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Solution

The fourth proportional to 532,028, 798,192 and 216,711.20 is: 325,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,028 : 798,192 = 216,711.20 : x
  2. Step 2: Convert to fraction form
    532,028/798,192 = 216,711.20/x
  3. Step 3: Cross multiply
    532,028x = 798,192 × 216,711.20
  4. Step 4: Simplify right side
    532,028x = 172,977,146,150.40
  5. Step 5: Solve for x
    x = 172,977,146,150.40/532,028
  6. Step 6: Final answer
    x = 325,127.90

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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.