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Finding the Fourth Proportional to 283,924.66, 391,815.28 and 163,073.79

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Solution

The fourth proportional to 283,924.66, 391,815.28 and 163,073.79 is: 225,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,924.66 : 391,815.28 = 163,073.79 : x
  2. Step 2: Convert to fraction form
    283,924.66/391,815.28 = 163,073.79/x
  3. Step 3: Cross multiply
    283,924.66x = 391,815.28 × 163,073.79
  4. Step 4: Simplify right side
    283,924.66x = 63,894,802,689.51
  5. Step 5: Solve for x
    x = 63,894,802,689.51/283,924.66
  6. Step 6: Final answer
    x = 225,041.40

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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.