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Finding the Fourth Proportional to 410,727.40, 616,091.10 and 233,780.20

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Solution

The fourth proportional to 410,727.40, 616,091.10 and 233,780.20 is: 350,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,727.40 : 616,091.10 = 233,780.20 : x
  2. Step 2: Convert to fraction form
    410,727.40/616,091.10 = 233,780.20/x
  3. Step 3: Cross multiply
    410,727.40x = 616,091.10 × 233,780.20
  4. Step 4: Simplify right side
    410,727.40x = 144,029,900,576.22
  5. Step 5: Solve for x
    x = 144,029,900,576.22/410,727.40
  6. Step 6: Final answer
    x = 350,670.30

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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.