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Finding the Fourth Proportional to 309,934.56, 464,878.80 and 176,395.68

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Solution

The fourth proportional to 309,934.56, 464,878.80 and 176,395.68 is: 264,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,934.56 : 464,878.80 = 176,395.68 : x
  2. Step 2: Convert to fraction form
    309,934.56/464,878.80 = 176,395.68/x
  3. Step 3: Cross multiply
    309,934.56x = 464,878.80 × 176,395.68
  4. Step 4: Simplify right side
    309,934.56x = 82,002,612,043.58
  5. Step 5: Solve for x
    x = 82,002,612,043.58/309,934.56
  6. Step 6: Final answer
    x = 264,580.41

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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.