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Finding the Fourth Proportional to 296,493.30, 409,155.84 and 160,526.16

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Solution

The fourth proportional to 296,493.30, 409,155.84 and 160,526.16 is: 221,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,493.30 : 409,155.84 = 160,526.16 : x
  2. Step 2: Convert to fraction form
    296,493.30/409,155.84 = 160,526.16/x
  3. Step 3: Cross multiply
    296,493.30x = 409,155.84 × 160,526.16
  4. Step 4: Simplify right side
    296,493.30x = 65,680,215,836.77
  5. Step 5: Solve for x
    x = 65,680,215,836.77/296,493.30
  6. Step 6: Final answer
    x = 221,523.44

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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.