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Finding the Fourth Proportional to 330,475.92, 495,307.80 and 152,742.48

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Solution

The fourth proportional to 330,475.92, 495,307.80 and 152,742.48 is: 228,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,475.92 : 495,307.80 = 152,742.48 : x
  2. Step 2: Convert to fraction form
    330,475.92/495,307.80 = 152,742.48/x
  3. Step 3: Cross multiply
    330,475.92x = 495,307.80 × 152,742.48
  4. Step 4: Simplify right side
    330,475.92x = 75,654,541,735.34
  5. Step 5: Solve for x
    x = 75,654,541,735.34/330,475.92
  6. Step 6: Final answer
    x = 228,926.03

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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.