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Finding the Fourth Proportional to 360,957.02, 541,967.74 and 201,344.78

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Solution

The fourth proportional to 360,957.02, 541,967.74 and 201,344.78 is: 302,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,957.02 : 541,967.74 = 201,344.78 : x
  2. Step 2: Convert to fraction form
    360,957.02/541,967.74 = 201,344.78/x
  3. Step 3: Cross multiply
    360,957.02x = 541,967.74 × 201,344.78
  4. Step 4: Simplify right side
    360,957.02x = 109,122,376,228.96
  5. Step 5: Solve for x
    x = 109,122,376,228.96/360,957.02
  6. Step 6: Final answer
    x = 302,314.05

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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.