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Finding the Fourth Proportional to 288,096.91, 397,526.19 and 160,772.20

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Solution

The fourth proportional to 288,096.91, 397,526.19 and 160,772.20 is: 221,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,096.91 : 397,526.19 = 160,772.20 : x
  2. Step 2: Convert to fraction form
    288,096.91/397,526.19 = 160,772.20/x
  3. Step 3: Cross multiply
    288,096.91x = 397,526.19 × 160,772.20
  4. Step 4: Simplify right side
    288,096.91x = 63,911,160,123.92
  5. Step 5: Solve for x
    x = 63,911,160,123.92/288,096.91
  6. Step 6: Final answer
    x = 221,839.10

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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.