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Finding the Fourth Proportional to 535,959.20, 803,938.80 and 161,982.20

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Solution

The fourth proportional to 535,959.20, 803,938.80 and 161,982.20 is: 242,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,959.20 : 803,938.80 = 161,982.20 : x
  2. Step 2: Convert to fraction form
    535,959.20/803,938.80 = 161,982.20/x
  3. Step 3: Cross multiply
    535,959.20x = 803,938.80 × 161,982.20
  4. Step 4: Simplify right side
    535,959.20x = 130,223,771,469.67
  5. Step 5: Solve for x
    x = 130,223,771,469.67/535,959.20
  6. Step 6: Final answer
    x = 242,973.29

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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.