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Finding the Fourth Proportional to 342,220.47, 472,322.52 and 199,063.50

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Solution

The fourth proportional to 342,220.47, 472,322.52 and 199,063.50 is: 274,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,220.47 : 472,322.52 = 199,063.50 : x
  2. Step 2: Convert to fraction form
    342,220.47/472,322.52 = 199,063.50/x
  3. Step 3: Cross multiply
    342,220.47x = 472,322.52 × 199,063.50
  4. Step 4: Simplify right side
    342,220.47x = 94,022,173,960.02
  5. Step 5: Solve for x
    x = 94,022,173,960.02/342,220.47
  6. Step 6: Final answer
    x = 274,741.53

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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.