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Finding the Fourth Proportional to 856,393.76, 1,181,833.52 and 474,428

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Solution

The fourth proportional to 856,393.76, 1,181,833.52 and 474,428 is: 654,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,393.76 : 1,181,833.52 = 474,428 : x
  2. Step 2: Convert to fraction form
    856,393.76/1,181,833.52 = 474,428/x
  3. Step 3: Cross multiply
    856,393.76x = 1,181,833.52 × 474,428
  4. Step 4: Simplify right side
    856,393.76x = 560,694,913,226.56
  5. Step 5: Solve for x
    x = 560,694,913,226.56/856,393.76
  6. Step 6: Final answer
    x = 654,716.25

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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.