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Finding the Fourth Proportional to 474,794.52, 655,196.70 and 259,929.24

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Solution

The fourth proportional to 474,794.52, 655,196.70 and 259,929.24 is: 358,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,794.52 : 655,196.70 = 259,929.24 : x
  2. Step 2: Convert to fraction form
    474,794.52/655,196.70 = 259,929.24/x
  3. Step 3: Cross multiply
    474,794.52x = 655,196.70 × 259,929.24
  4. Step 4: Simplify right side
    474,794.52x = 170,304,780,281.51
  5. Step 5: Solve for x
    x = 170,304,780,281.51/474,794.52
  6. Step 6: Final answer
    x = 358,691.55

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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.