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Finding the Fourth Proportional to 1,566,256.30, 2,188,034.90 and 1,566,256.30

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Solution

The fourth proportional to 1,566,256.30, 2,188,034.90 and 1,566,256.30 is: 2,188,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,256.30 : 2,188,034.90 = 1,566,256.30 : x
  2. Step 2: Convert to fraction form
    1,566,256.30/2,188,034.90 = 1,566,256.30/x
  3. Step 3: Cross multiply
    1,566,256.30x = 2,188,034.90 × 1,566,256.30
  4. Step 4: Simplify right side
    1,566,256.30x = 3,427,023,446,744.87
  5. Step 5: Solve for x
    x = 3,427,023,446,744.87/1,566,256.30
  6. Step 6: Final answer
    x = 2,188,034.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.