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Finding the Fourth Proportional to 312,593.10, 469,239.60 and 207,617.10

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Solution

The fourth proportional to 312,593.10, 469,239.60 and 207,617.10 is: 311,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,593.10 : 469,239.60 = 207,617.10 : x
  2. Step 2: Convert to fraction form
    312,593.10/469,239.60 = 207,617.10/x
  3. Step 3: Cross multiply
    312,593.10x = 469,239.60 × 207,617.10
  4. Step 4: Simplify right side
    312,593.10x = 97,422,164,957.16
  5. Step 5: Solve for x
    x = 97,422,164,957.16/312,593.10
  6. Step 6: Final answer
    x = 311,658.08

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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.