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Finding the Fourth Proportional to 409,272.30, 613,904.10 and 159,952.14

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Solution

The fourth proportional to 409,272.30, 613,904.10 and 159,952.14 is: 239,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,272.30 : 613,904.10 = 159,952.14 : x
  2. Step 2: Convert to fraction form
    409,272.30/613,904.10 = 159,952.14/x
  3. Step 3: Cross multiply
    409,272.30x = 613,904.10 × 159,952.14
  4. Step 4: Simplify right side
    409,272.30x = 98,195,274,549.77
  5. Step 5: Solve for x
    x = 98,195,274,549.77/409,272.30
  6. Step 6: Final answer
    x = 239,926.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.