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Finding the Fourth Proportional to 278,266.40, 417,092.40 and 153,696.80

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Solution

The fourth proportional to 278,266.40, 417,092.40 and 153,696.80 is: 230,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,266.40 : 417,092.40 = 153,696.80 : x
  2. Step 2: Convert to fraction form
    278,266.40/417,092.40 = 153,696.80/x
  3. Step 3: Cross multiply
    278,266.40x = 417,092.40 × 153,696.80
  4. Step 4: Simplify right side
    278,266.40x = 64,105,767,184.32
  5. Step 5: Solve for x
    x = 64,105,767,184.32/278,266.40
  6. Step 6: Final answer
    x = 230,375.52

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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.