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Finding the Fourth Proportional to 434,706.78, 652,062.42 and 197,883.84

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Solution

The fourth proportional to 434,706.78, 652,062.42 and 197,883.84 is: 296,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,706.78 : 652,062.42 = 197,883.84 : x
  2. Step 2: Convert to fraction form
    434,706.78/652,062.42 = 197,883.84/x
  3. Step 3: Cross multiply
    434,706.78x = 652,062.42 × 197,883.84
  4. Step 4: Simplify right side
    434,706.78x = 129,032,615,589.29
  5. Step 5: Solve for x
    x = 129,032,615,589.29/434,706.78
  6. Step 6: Final answer
    x = 296,826.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.