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Finding the Fourth Proportional to 411,780, 567,867.60 and 268,649.76

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Solution

The fourth proportional to 411,780, 567,867.60 and 268,649.76 is: 370,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,780 : 567,867.60 = 268,649.76 : x
  2. Step 2: Convert to fraction form
    411,780/567,867.60 = 268,649.76/x
  3. Step 3: Cross multiply
    411,780x = 567,867.60 × 268,649.76
  4. Step 4: Simplify right side
    411,780x = 152,557,494,451.78
  5. Step 5: Solve for x
    x = 152,557,494,451.78/411,780
  6. Step 6: Final answer
    x = 370,483.01

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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.