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Finding the Fourth Proportional to 523,174.80, 784,766.48 and 144,116.45

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Solution

The fourth proportional to 523,174.80, 784,766.48 and 144,116.45 is: 216,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,174.80 : 784,766.48 = 144,116.45 : x
  2. Step 2: Convert to fraction form
    523,174.80/784,766.48 = 144,116.45/x
  3. Step 3: Cross multiply
    523,174.80x = 784,766.48 × 144,116.45
  4. Step 4: Simplify right side
    523,174.80x = 113,097,754,532.18
  5. Step 5: Solve for x
    x = 113,097,754,532.18/523,174.80
  6. Step 6: Final answer
    x = 216,175.85

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1.5x scale

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.