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Finding the Fourth Proportional to 227,895.76, 314,316.84 and 212,617

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Solution

The fourth proportional to 227,895.76, 314,316.84 and 212,617 is: 293,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,895.76 : 314,316.84 = 212,617 : x
  2. Step 2: Convert to fraction form
    227,895.76/314,316.84 = 212,617/x
  3. Step 3: Cross multiply
    227,895.76x = 314,316.84 × 212,617
  4. Step 4: Simplify right side
    227,895.76x = 66,829,103,570.28
  5. Step 5: Solve for x
    x = 66,829,103,570.28/227,895.76
  6. Step 6: Final answer
    x = 293,244.17

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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.