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Finding the Fourth Proportional to 411,416.17, 567,806.84 and 230,138.17

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Solution

The fourth proportional to 411,416.17, 567,806.84 and 230,138.17 is: 317,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,416.17 : 567,806.84 = 230,138.17 : x
  2. Step 2: Convert to fraction form
    411,416.17/567,806.84 = 230,138.17/x
  3. Step 3: Cross multiply
    411,416.17x = 567,806.84 × 230,138.17
  4. Step 4: Simplify right side
    411,416.17x = 130,674,027,071.08
  5. Step 5: Solve for x
    x = 130,674,027,071.08/411,416.17
  6. Step 6: Final answer
    x = 317,620.06

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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.