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Finding the Fourth Proportional to 290,410.38, 435,642.48 and 112,930.74

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Solution

The fourth proportional to 290,410.38, 435,642.48 and 112,930.74 is: 169,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,410.38 : 435,642.48 = 112,930.74 : x
  2. Step 2: Convert to fraction form
    290,410.38/435,642.48 = 112,930.74/x
  3. Step 3: Cross multiply
    290,410.38x = 435,642.48 × 112,930.74
  4. Step 4: Simplify right side
    290,410.38x = 49,197,427,641.84
  5. Step 5: Solve for x
    x = 49,197,427,641.84/290,410.38
  6. Step 6: Final answer
    x = 169,406.57

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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.