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Finding the Fourth Proportional to 384,237, 576,358.74 and 134,919

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Solution

The fourth proportional to 384,237, 576,358.74 and 134,919 is: 202,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,237 : 576,358.74 = 134,919 : x
  2. Step 2: Convert to fraction form
    384,237/576,358.74 = 134,919/x
  3. Step 3: Cross multiply
    384,237x = 576,358.74 × 134,919
  4. Step 4: Simplify right side
    384,237x = 77,761,744,842.06
  5. Step 5: Solve for x
    x = 77,761,744,842.06/384,237
  6. Step 6: Final answer
    x = 202,379.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.