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Finding the Fourth Proportional to 384,152.80, 576,229.20 and 304,837.60

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Solution

The fourth proportional to 384,152.80, 576,229.20 and 304,837.60 is: 457,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,152.80 : 576,229.20 = 304,837.60 : x
  2. Step 2: Convert to fraction form
    384,152.80/576,229.20 = 304,837.60/x
  3. Step 3: Cross multiply
    384,152.80x = 576,229.20 × 304,837.60
  4. Step 4: Simplify right side
    384,152.80x = 175,656,326,377.92
  5. Step 5: Solve for x
    x = 175,656,326,377.92/384,152.80
  6. Step 6: Final answer
    x = 457,256.40

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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.