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Finding the Fourth Proportional to 330,474.92, 495,306.30 and 152,741.48

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Solution

The fourth proportional to 330,474.92, 495,306.30 and 152,741.48 is: 228,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,474.92 : 495,306.30 = 152,741.48 : x
  2. Step 2: Convert to fraction form
    330,474.92/495,306.30 = 152,741.48/x
  3. Step 3: Cross multiply
    330,474.92x = 495,306.30 × 152,741.48
  4. Step 4: Simplify right side
    330,474.92x = 75,653,817,315.32
  5. Step 5: Solve for x
    x = 75,653,817,315.32/330,474.92
  6. Step 6: Final answer
    x = 228,924.53

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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.