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Finding the Fourth Proportional to 423,744.82, 584,752.14 and 232,746.82

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Solution

The fourth proportional to 423,744.82, 584,752.14 and 232,746.82 is: 321,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,744.82 : 584,752.14 = 232,746.82 : x
  2. Step 2: Convert to fraction form
    423,744.82/584,752.14 = 232,746.82/x
  3. Step 3: Cross multiply
    423,744.82x = 584,752.14 × 232,746.82
  4. Step 4: Simplify right side
    423,744.82x = 136,099,201,073.20
  5. Step 5: Solve for x
    x = 136,099,201,073.20/423,744.82
  6. Step 6: Final answer
    x = 321,181.98

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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.