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Finding the Fourth Proportional to 472,950.80, 709,863.60 and 236,463.20

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Solution

The fourth proportional to 472,950.80, 709,863.60 and 236,463.20 is: 354,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,950.80 : 709,863.60 = 236,463.20 : x
  2. Step 2: Convert to fraction form
    472,950.80/709,863.60 = 236,463.20/x
  3. Step 3: Cross multiply
    472,950.80x = 709,863.60 × 236,463.20
  4. Step 4: Simplify right side
    472,950.80x = 167,856,618,419.52
  5. Step 5: Solve for x
    x = 167,856,618,419.52/472,950.80
  6. Step 6: Final answer
    x = 354,913.49

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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.