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Finding the Fourth Proportional to 377,116.42, 520,429.56 and 205,044.22

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Solution

The fourth proportional to 377,116.42, 520,429.56 and 205,044.22 is: 282,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,116.42 : 520,429.56 = 205,044.22 : x
  2. Step 2: Convert to fraction form
    377,116.42/520,429.56 = 205,044.22/x
  3. Step 3: Cross multiply
    377,116.42x = 520,429.56 × 205,044.22
  4. Step 4: Simplify right side
    377,116.42x = 106,711,073,195.14
  5. Step 5: Solve for x
    x = 106,711,073,195.14/377,116.42
  6. Step 6: Final answer
    x = 282,965.86

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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.