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Finding the Fourth Proportional to 523,048.80, 784,573.20 and 149,023.20

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Solution

The fourth proportional to 523,048.80, 784,573.20 and 149,023.20 is: 223,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,048.80 : 784,573.20 = 149,023.20 : x
  2. Step 2: Convert to fraction form
    523,048.80/784,573.20 = 149,023.20/x
  3. Step 3: Cross multiply
    523,048.80x = 784,573.20 × 149,023.20
  4. Step 4: Simplify right side
    523,048.80x = 116,919,608,898.24
  5. Step 5: Solve for x
    x = 116,919,608,898.24/523,048.80
  6. Step 6: Final answer
    x = 223,534.80

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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.