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Finding the Fourth Proportional to 535,706.28, 803,559.83 and 161,729.28

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Solution

The fourth proportional to 535,706.28, 803,559.83 and 161,729.28 is: 242,594.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,706.28 : 803,559.83 = 161,729.28 : x
  2. Step 2: Convert to fraction form
    535,706.28/803,559.83 = 161,729.28/x
  3. Step 3: Cross multiply
    535,706.28x = 803,559.83 × 161,729.28
  4. Step 4: Simplify right side
    535,706.28x = 129,959,151,934.18
  5. Step 5: Solve for x
    x = 129,959,151,934.18/535,706.28
  6. Step 6: Final answer
    x = 242,594.04

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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.