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Finding the Fourth Proportional to 472,958.40, 709,686.71 and 273,418.92

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Solution

The fourth proportional to 472,958.40, 709,686.71 and 273,418.92 is: 410,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,958.40 : 709,686.71 = 273,418.92 : x
  2. Step 2: Convert to fraction form
    472,958.40/709,686.71 = 273,418.92/x
  3. Step 3: Cross multiply
    472,958.40x = 709,686.71 × 273,418.92
  4. Step 4: Simplify right side
    472,958.40x = 194,041,773,786.55
  5. Step 5: Solve for x
    x = 194,041,773,786.55/472,958.40
  6. Step 6: Final answer
    x = 410,272.39

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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.