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Finding the Fourth Proportional to 301,938.32, 416,767.74 and 194,508.02

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Solution

The fourth proportional to 301,938.32, 416,767.74 and 194,508.02 is: 268,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,938.32 : 416,767.74 = 194,508.02 : x
  2. Step 2: Convert to fraction form
    301,938.32/416,767.74 = 194,508.02/x
  3. Step 3: Cross multiply
    301,938.32x = 416,767.74 × 194,508.02
  4. Step 4: Simplify right side
    301,938.32x = 81,064,667,907.27
  5. Step 5: Solve for x
    x = 81,064,667,907.27/301,938.32
  6. Step 6: Final answer
    x = 268,480.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.