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Finding the Fourth Proportional to 434,057.20, 650,867.10 and 256,618.60

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Solution

The fourth proportional to 434,057.20, 650,867.10 and 256,618.60 is: 384,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,057.20 : 650,867.10 = 256,618.60 : x
  2. Step 2: Convert to fraction form
    434,057.20/650,867.10 = 256,618.60/x
  3. Step 3: Cross multiply
    434,057.20x = 650,867.10 × 256,618.60
  4. Step 4: Simplify right side
    434,057.20x = 167,024,603,988.06
  5. Step 5: Solve for x
    x = 167,024,603,988.06/434,057.20
  6. Step 6: Final answer
    x = 384,798.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.