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Finding the Fourth Proportional to 434,707.78, 652,063.92 and 197,884.84

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Solution

The fourth proportional to 434,707.78, 652,063.92 and 197,884.84 is: 296,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,707.78 : 652,063.92 = 197,884.84 : x
  2. Step 2: Convert to fraction form
    434,707.78/652,063.92 = 197,884.84/x
  3. Step 3: Cross multiply
    434,707.78x = 652,063.92 × 197,884.84
  4. Step 4: Simplify right side
    434,707.78x = 129,033,564,478.97
  5. Step 5: Solve for x
    x = 129,033,564,478.97/434,707.78
  6. Step 6: Final answer
    x = 296,828.28

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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.