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Finding the Fourth Proportional to 457,364.88, 686,301.56 and 204,635.16

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Solution

The fourth proportional to 457,364.88, 686,301.56 and 204,635.16 is: 307,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,364.88 : 686,301.56 = 204,635.16 : x
  2. Step 2: Convert to fraction form
    457,364.88/686,301.56 = 204,635.16/x
  3. Step 3: Cross multiply
    457,364.88x = 686,301.56 × 204,635.16
  4. Step 4: Simplify right side
    457,364.88x = 140,441,429,283.06
  5. Step 5: Solve for x
    x = 140,441,429,283.06/457,364.88
  6. Step 6: Final answer
    x = 307,066.49

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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.