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Finding the Fourth Proportional to 843,422.40, 1,163,925.72 and 461,448

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Solution

The fourth proportional to 843,422.40, 1,163,925.72 and 461,448 is: 636,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,422.40 : 1,163,925.72 = 461,448 : x
  2. Step 2: Convert to fraction form
    843,422.40/1,163,925.72 = 461,448/x
  3. Step 3: Cross multiply
    843,422.40x = 1,163,925.72 × 461,448
  4. Step 4: Simplify right side
    843,422.40x = 537,091,195,642.56
  5. Step 5: Solve for x
    x = 537,091,195,642.56/843,422.40
  6. Step 6: Final answer
    x = 636,799.78

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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.