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Finding the Fourth Proportional to 390,190.41, 585,332.49 and 137,418.66

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Solution

The fourth proportional to 390,190.41, 585,332.49 and 137,418.66 is: 206,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,190.41 : 585,332.49 = 137,418.66 : x
  2. Step 2: Convert to fraction form
    390,190.41/585,332.49 = 137,418.66/x
  3. Step 3: Cross multiply
    390,190.41x = 585,332.49 × 137,418.66
  4. Step 4: Simplify right side
    390,190.41x = 80,435,606,430.26
  5. Step 5: Solve for x
    x = 80,435,606,430.26/390,190.41
  6. Step 6: Final answer
    x = 206,144.50

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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.