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Finding the Fourth Proportional to 330,393.92, 495,516.14 and 152,803.44

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Solution

The fourth proportional to 330,393.92, 495,516.14 and 152,803.44 is: 229,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,393.92 : 495,516.14 = 152,803.44 : x
  2. Step 2: Convert to fraction form
    330,393.92/495,516.14 = 152,803.44/x
  3. Step 3: Cross multiply
    330,393.92x = 495,516.14 × 152,803.44
  4. Step 4: Simplify right side
    330,393.92x = 75,716,570,767.52
  5. Step 5: Solve for x
    x = 75,716,570,767.52/330,393.92
  6. Step 6: Final answer
    x = 229,170.59

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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.