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Finding the Fourth Proportional to 535,178.76, 802,206.20 and 180,069.52

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Solution

The fourth proportional to 535,178.76, 802,206.20 and 180,069.52 is: 269,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,178.76 : 802,206.20 = 180,069.52 : x
  2. Step 2: Convert to fraction form
    535,178.76/802,206.20 = 180,069.52/x
  3. Step 3: Cross multiply
    535,178.76x = 802,206.20 × 180,069.52
  4. Step 4: Simplify right side
    535,178.76x = 144,452,885,375.02
  5. Step 5: Solve for x
    x = 144,452,885,375.02/535,178.76
  6. Step 6: Final answer
    x = 269,915.21

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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.