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Finding the Fourth Proportional to 417,440, 576,067.20 and 238,595.84

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Solution

The fourth proportional to 417,440, 576,067.20 and 238,595.84 is: 329,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,440 : 576,067.20 = 238,595.84 : x
  2. Step 2: Convert to fraction form
    417,440/576,067.20 = 238,595.84/x
  3. Step 3: Cross multiply
    417,440x = 576,067.20 × 238,595.84
  4. Step 4: Simplify right side
    417,440x = 137,447,237,480.45
  5. Step 5: Solve for x
    x = 137,447,237,480.45/417,440
  6. Step 6: Final answer
    x = 329,262.26

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