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Finding the Fourth Proportional to 504,496.80, 755,708.40 and 255,319.20

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Solution

The fourth proportional to 504,496.80, 755,708.40 and 255,319.20 is: 382,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,496.80 : 755,708.40 = 255,319.20 : x
  2. Step 2: Convert to fraction form
    504,496.80/755,708.40 = 255,319.20/x
  3. Step 3: Cross multiply
    504,496.80x = 755,708.40 × 255,319.20
  4. Step 4: Simplify right side
    504,496.80x = 192,946,864,121.28
  5. Step 5: Solve for x
    x = 192,946,864,121.28/504,496.80
  6. Step 6: Final answer
    x = 382,454.09

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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.