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Finding the Fourth Proportional to 306,758.41, 460,347.81 and 107,078.82

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Solution

The fourth proportional to 306,758.41, 460,347.81 and 107,078.82 is: 160,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,758.41 : 460,347.81 = 107,078.82 : x
  2. Step 2: Convert to fraction form
    306,758.41/460,347.81 = 107,078.82/x
  3. Step 3: Cross multiply
    306,758.41x = 460,347.81 × 107,078.82
  4. Step 4: Simplify right side
    306,758.41x = 49,293,500,284.38
  5. Step 5: Solve for x
    x = 49,293,500,284.38/306,758.41
  6. Step 6: Final answer
    x = 160,691.60

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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.