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Finding the Fourth Proportional to 653,713.56, 978,461.10 and 337,735.80

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Solution

The fourth proportional to 653,713.56, 978,461.10 and 337,735.80 is: 505,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,713.56 : 978,461.10 = 337,735.80 : x
  2. Step 2: Convert to fraction form
    653,713.56/978,461.10 = 337,735.80/x
  3. Step 3: Cross multiply
    653,713.56x = 978,461.10 × 337,735.80
  4. Step 4: Simplify right side
    653,713.56x = 330,461,342,377.38
  5. Step 5: Solve for x
    x = 330,461,342,377.38/653,713.56
  6. Step 6: Final answer
    x = 505,513.98

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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.