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Finding the Fourth Proportional to 472,665.20, 709,458.60 and 236,274.80

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Solution

The fourth proportional to 472,665.20, 709,458.60 and 236,274.80 is: 354,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,665.20 : 709,458.60 = 236,274.80 : x
  2. Step 2: Convert to fraction form
    472,665.20/709,458.60 = 236,274.80/x
  3. Step 3: Cross multiply
    472,665.20x = 709,458.60 × 236,274.80
  4. Step 4: Simplify right side
    472,665.20x = 167,627,188,823.28
  5. Step 5: Solve for x
    x = 167,627,188,823.28/472,665.20
  6. Step 6: Final answer
    x = 354,642.54

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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.