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Finding the Fourth Proportional to 337,280.36, 465,447.06 and 186,377.36

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Solution

The fourth proportional to 337,280.36, 465,447.06 and 186,377.36 is: 257,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,280.36 : 465,447.06 = 186,377.36 : x
  2. Step 2: Convert to fraction form
    337,280.36/465,447.06 = 186,377.36/x
  3. Step 3: Cross multiply
    337,280.36x = 465,447.06 × 186,377.36
  4. Step 4: Simplify right side
    337,280.36x = 86,748,791,935.33
  5. Step 5: Solve for x
    x = 86,748,791,935.33/337,280.36
  6. Step 6: Final answer
    x = 257,200.84

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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.