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Finding the Fourth Proportional to 344,839.20, 475,767.20 and 208,829.60

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Solution

The fourth proportional to 344,839.20, 475,767.20 and 208,829.60 is: 288,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,839.20 : 475,767.20 = 208,829.60 : x
  2. Step 2: Convert to fraction form
    344,839.20/475,767.20 = 208,829.60/x
  3. Step 3: Cross multiply
    344,839.20x = 475,767.20 × 208,829.60
  4. Step 4: Simplify right side
    344,839.20x = 99,354,274,069.12
  5. Step 5: Solve for x
    x = 99,354,274,069.12/344,839.20
  6. Step 6: Final answer
    x = 288,117.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.