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Finding the Fourth Proportional to 765,034.64, 1,055,726.58 and 420,868.88

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Solution

The fourth proportional to 765,034.64, 1,055,726.58 and 420,868.88 is: 580,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,034.64 : 1,055,726.58 = 420,868.88 : x
  2. Step 2: Convert to fraction form
    765,034.64/1,055,726.58 = 420,868.88/x
  3. Step 3: Cross multiply
    765,034.64x = 1,055,726.58 × 420,868.88
  4. Step 4: Simplify right side
    765,034.64x = 444,322,463,310.83
  5. Step 5: Solve for x
    x = 444,322,463,310.83/765,034.64
  6. Step 6: Final answer
    x = 580,787.38

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Why These Related Problems?

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