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Finding the Fourth Proportional to 341,416.98, 471,344.14 and 205,484.28

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Solution

The fourth proportional to 341,416.98, 471,344.14 and 205,484.28 is: 283,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,416.98 : 471,344.14 = 205,484.28 : x
  2. Step 2: Convert to fraction form
    341,416.98/471,344.14 = 205,484.28/x
  3. Step 3: Cross multiply
    341,416.98x = 471,344.14 × 205,484.28
  4. Step 4: Simplify right side
    341,416.98x = 96,853,811,240.12
  5. Step 5: Solve for x
    x = 96,853,811,240.12/341,416.98
  6. Step 6: Final answer
    x = 283,681.88

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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.