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Finding the Fourth Proportional to 1,023,383.70, 1,532,123.10 and 1,023,383.70

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Solution

The fourth proportional to 1,023,383.70, 1,532,123.10 and 1,023,383.70 is: 1,532,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,383.70 : 1,532,123.10 = 1,023,383.70 : x
  2. Step 2: Convert to fraction form
    1,023,383.70/1,532,123.10 = 1,023,383.70/x
  3. Step 3: Cross multiply
    1,023,383.70x = 1,532,123.10 × 1,023,383.70
  4. Step 4: Simplify right side
    1,023,383.70x = 1,567,949,806,933.47
  5. Step 5: Solve for x
    x = 1,567,949,806,933.47/1,023,383.70
  6. Step 6: Final answer
    x = 1,532,123.10

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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.