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Finding the Fourth Proportional to 356,382.16, 491,807.34 and 213,142.18

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Solution

The fourth proportional to 356,382.16, 491,807.34 and 213,142.18 is: 294,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,382.16 : 491,807.34 = 213,142.18 : x
  2. Step 2: Convert to fraction form
    356,382.16/491,807.34 = 213,142.18/x
  3. Step 3: Cross multiply
    356,382.16x = 491,807.34 × 213,142.18
  4. Step 4: Simplify right side
    356,382.16x = 104,824,888,587.60
  5. Step 5: Solve for x
    x = 104,824,888,587.60/356,382.16
  6. Step 6: Final answer
    x = 294,136.18

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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.