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Finding the Fourth Proportional to 523,250.34, 784,734.98 and 144,080.80

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Solution

The fourth proportional to 523,250.34, 784,734.98 and 144,080.80 is: 216,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,250.34 : 784,734.98 = 144,080.80 : x
  2. Step 2: Convert to fraction form
    523,250.34/784,734.98 = 144,080.80/x
  3. Step 3: Cross multiply
    523,250.34x = 784,734.98 × 144,080.80
  4. Step 4: Simplify right side
    523,250.34x = 113,065,239,782.71
  5. Step 5: Solve for x
    x = 113,065,239,782.71/523,250.34
  6. Step 6: Final answer
    x = 216,082.50

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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.