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Finding the Fourth Proportional to 305,854.68, 422,476.38 and 232,813.74

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Solution

The fourth proportional to 305,854.68, 422,476.38 and 232,813.74 is: 321,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,854.68 : 422,476.38 = 232,813.74 : x
  2. Step 2: Convert to fraction form
    305,854.68/422,476.38 = 232,813.74/x
  3. Step 3: Cross multiply
    305,854.68x = 422,476.38 × 232,813.74
  4. Step 4: Simplify right side
    305,854.68x = 98,358,306,089.46
  5. Step 5: Solve for x
    x = 98,358,306,089.46/305,854.68
  6. Step 6: Final answer
    x = 321,585.09

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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.