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Finding the Fourth Proportional to 304,810.40, 457,215.60 and 178,839.20

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Solution

The fourth proportional to 304,810.40, 457,215.60 and 178,839.20 is: 268,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,810.40 : 457,215.60 = 178,839.20 : x
  2. Step 2: Convert to fraction form
    304,810.40/457,215.60 = 178,839.20/x
  3. Step 3: Cross multiply
    304,810.40x = 457,215.60 × 178,839.20
  4. Step 4: Simplify right side
    304,810.40x = 81,768,072,131.52
  5. Step 5: Solve for x
    x = 81,768,072,131.52/304,810.40
  6. Step 6: Final answer
    x = 268,258.80

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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.