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Finding the Fourth Proportional to 651,576.80, 977,438.10 and 202,294.10

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Solution

The fourth proportional to 651,576.80, 977,438.10 and 202,294.10 is: 303,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,576.80 : 977,438.10 = 202,294.10 : x
  2. Step 2: Convert to fraction form
    651,576.80/977,438.10 = 202,294.10/x
  3. Step 3: Cross multiply
    651,576.80x = 977,438.10 × 202,294.10
  4. Step 4: Simplify right side
    651,576.80x = 197,729,960,745.21
  5. Step 5: Solve for x
    x = 197,729,960,745.21/651,576.80
  6. Step 6: Final answer
    x = 303,463.78

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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.