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Finding the Fourth Proportional to 322,335.80, 444,826.04 and 201,547.10

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Solution

The fourth proportional to 322,335.80, 444,826.04 and 201,547.10 is: 278,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,335.80 : 444,826.04 = 201,547.10 : x
  2. Step 2: Convert to fraction form
    322,335.80/444,826.04 = 201,547.10/x
  3. Step 3: Cross multiply
    322,335.80x = 444,826.04 × 201,547.10
  4. Step 4: Simplify right side
    322,335.80x = 89,653,398,366.48
  5. Step 5: Solve for x
    x = 89,653,398,366.48/322,335.80
  6. Step 6: Final answer
    x = 278,136.65

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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.