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Finding the Fourth Proportional to 423,820.39, 584,878.34 and 230,231.71

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Solution

The fourth proportional to 423,820.39, 584,878.34 and 230,231.71 is: 317,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,820.39 : 584,878.34 = 230,231.71 : x
  2. Step 2: Convert to fraction form
    423,820.39/584,878.34 = 230,231.71/x
  3. Step 3: Cross multiply
    423,820.39x = 584,878.34 × 230,231.71
  4. Step 4: Simplify right side
    423,820.39x = 134,657,540,360.16
  5. Step 5: Solve for x
    x = 134,657,540,360.16/423,820.39
  6. Step 6: Final answer
    x = 317,723.13

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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.