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Finding the Fourth Proportional to 337,178.79, 465,355.46 and 201,218.47

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Solution

The fourth proportional to 337,178.79, 465,355.46 and 201,218.47 is: 277,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,178.79 : 465,355.46 = 201,218.47 : x
  2. Step 2: Convert to fraction form
    337,178.79/465,355.46 = 201,218.47/x
  3. Step 3: Cross multiply
    337,178.79x = 465,355.46 × 201,218.47
  4. Step 4: Simplify right side
    337,178.79x = 93,638,113,007.00
  5. Step 5: Solve for x
    x = 93,638,113,007.00/337,178.79
  6. Step 6: Final answer
    x = 277,710.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.