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Finding the Fourth Proportional to 360,956.16, 541,966.50 and 201,343.95

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Solution

The fourth proportional to 360,956.16, 541,966.50 and 201,343.95 is: 302,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,956.16 : 541,966.50 = 201,343.95 : x
  2. Step 2: Convert to fraction form
    360,956.16/541,966.50 = 201,343.95/x
  3. Step 3: Cross multiply
    360,956.16x = 541,966.50 × 201,343.95
  4. Step 4: Simplify right side
    360,956.16x = 109,121,675,877.68
  5. Step 5: Solve for x
    x = 109,121,675,877.68/360,956.16
  6. Step 6: Final answer
    x = 302,312.82

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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.