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Finding the Fourth Proportional to 360,292.98, 497,206.32 and 196,949.76

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Solution

The fourth proportional to 360,292.98, 497,206.32 and 196,949.76 is: 271,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,292.98 : 497,206.32 = 196,949.76 : x
  2. Step 2: Convert to fraction form
    360,292.98/497,206.32 = 196,949.76/x
  3. Step 3: Cross multiply
    360,292.98x = 497,206.32 × 196,949.76
  4. Step 4: Simplify right side
    360,292.98x = 97,924,665,394.48
  5. Step 5: Solve for x
    x = 97,924,665,394.48/360,292.98
  6. Step 6: Final answer
    x = 271,791.77

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1.5x scale

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.