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Finding the Fourth Proportional to 344,557.41, 475,515.78 and 206,741.49

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Solution

The fourth proportional to 344,557.41, 475,515.78 and 206,741.49 is: 285,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,557.41 : 475,515.78 = 206,741.49 : x
  2. Step 2: Convert to fraction form
    344,557.41/475,515.78 = 206,741.49/x
  3. Step 3: Cross multiply
    344,557.41x = 475,515.78 × 206,741.49
  4. Step 4: Simplify right side
    344,557.41x = 98,308,840,875.71
  5. Step 5: Solve for x
    x = 98,308,840,875.71/344,557.41
  6. Step 6: Final answer
    x = 285,319.19

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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.