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Finding the Fourth Proportional to 410,930.64, 616,473.72 and 233,637.84

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Solution

The fourth proportional to 410,930.64, 616,473.72 and 233,637.84 is: 350,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,930.64 : 616,473.72 = 233,637.84 : x
  2. Step 2: Convert to fraction form
    410,930.64/616,473.72 = 233,637.84/x
  3. Step 3: Cross multiply
    410,930.64x = 616,473.72 × 233,637.84
  4. Step 4: Simplify right side
    410,930.64x = 144,031,588,357.57
  5. Step 5: Solve for x
    x = 144,031,588,357.57/410,930.64
  6. Step 6: Final answer
    x = 350,500.97

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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.