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Finding the Fourth Proportional to 1,412,686.86, 1,949,454.11 and 768,107.59

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Solution

The fourth proportional to 1,412,686.86, 1,949,454.11 and 768,107.59 is: 1,059,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,686.86 : 1,949,454.11 = 768,107.59 : x
  2. Step 2: Convert to fraction form
    1,412,686.86/1,949,454.11 = 768,107.59/x
  3. Step 3: Cross multiply
    1,412,686.86x = 1,949,454.11 × 768,107.59
  4. Step 4: Simplify right side
    1,412,686.86x = 1,497,390,495,294.33
  5. Step 5: Solve for x
    x = 1,497,390,495,294.33/1,412,686.86
  6. Step 6: Final answer
    x = 1,059,959.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.