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Finding the Fourth Proportional to 473,576.76, 709,230.33 and 345,148.83

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Solution

The fourth proportional to 473,576.76, 709,230.33 and 345,148.83 is: 516,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,576.76 : 709,230.33 = 345,148.83 : x
  2. Step 2: Convert to fraction form
    473,576.76/709,230.33 = 345,148.83/x
  3. Step 3: Cross multiply
    473,576.76x = 709,230.33 × 345,148.83
  4. Step 4: Simplify right side
    473,576.76x = 244,790,018,600.01
  5. Step 5: Solve for x
    x = 244,790,018,600.01/473,576.76
  6. Step 6: Final answer
    x = 516,896.18

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Why These Related Problems?

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