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Finding the Fourth Proportional to 360,272.42, 497,177.89 and 196,929.14

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Solution

The fourth proportional to 360,272.42, 497,177.89 and 196,929.14 is: 271,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,272.42 : 497,177.89 = 196,929.14 : x
  2. Step 2: Convert to fraction form
    360,272.42/497,177.89 = 196,929.14/x
  3. Step 3: Cross multiply
    360,272.42x = 497,177.89 × 196,929.14
  4. Step 4: Simplify right side
    360,272.42x = 97,908,814,304.71
  5. Step 5: Solve for x
    x = 97,908,814,304.71/360,272.42
  6. Step 6: Final answer
    x = 271,763.28

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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.