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Finding the Fourth Proportional to 330,473.92, 495,304.80 and 152,740.48

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Solution

The fourth proportional to 330,473.92, 495,304.80 and 152,740.48 is: 228,923.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,473.92 : 495,304.80 = 152,740.48 : x
  2. Step 2: Convert to fraction form
    330,473.92/495,304.80 = 152,740.48/x
  3. Step 3: Cross multiply
    330,473.92x = 495,304.80 × 152,740.48
  4. Step 4: Simplify right side
    330,473.92x = 75,653,092,898.30
  5. Step 5: Solve for x
    x = 75,653,092,898.30/330,473.92
  6. Step 6: Final answer
    x = 228,923.04

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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.