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Finding the Fourth Proportional to 295,243.40, 441,698.70 and 256,233.80

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Solution

The fourth proportional to 295,243.40, 441,698.70 and 256,233.80 is: 383,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,243.40 : 441,698.70 = 256,233.80 : x
  2. Step 2: Convert to fraction form
    295,243.40/441,698.70 = 256,233.80/x
  3. Step 3: Cross multiply
    295,243.40x = 441,698.70 × 256,233.80
  4. Step 4: Simplify right side
    295,243.40x = 113,178,136,356.06
  5. Step 5: Solve for x
    x = 113,178,136,356.06/295,243.40
  6. Step 6: Final answer
    x = 383,338.41

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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.