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Finding the Fourth Proportional to 492,076.40, 737,531.40 and 255,297.20

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Solution

The fourth proportional to 492,076.40, 737,531.40 and 255,297.20 is: 382,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,076.40 : 737,531.40 = 255,297.20 : x
  2. Step 2: Convert to fraction form
    492,076.40/737,531.40 = 255,297.20/x
  3. Step 3: Cross multiply
    492,076.40x = 737,531.40 × 255,297.20
  4. Step 4: Simplify right side
    492,076.40x = 188,289,701,332.08
  5. Step 5: Solve for x
    x = 188,289,701,332.08/492,076.40
  6. Step 6: Final answer
    x = 382,643.23

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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.