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Finding the Fourth Proportional to 304,471.20, 456,706.80 and 292,029.60

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Solution

The fourth proportional to 304,471.20, 456,706.80 and 292,029.60 is: 438,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,471.20 : 456,706.80 = 292,029.60 : x
  2. Step 2: Convert to fraction form
    304,471.20/456,706.80 = 292,029.60/x
  3. Step 3: Cross multiply
    304,471.20x = 456,706.80 × 292,029.60
  4. Step 4: Simplify right side
    304,471.20x = 133,371,904,121.28
  5. Step 5: Solve for x
    x = 133,371,904,121.28/304,471.20
  6. Step 6: Final answer
    x = 438,044.40

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1.5x scale

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.