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Finding the Fourth Proportional to 356,384.16, 491,810.10 and 213,144.18

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Solution

The fourth proportional to 356,384.16, 491,810.10 and 213,144.18 is: 294,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,384.16 : 491,810.10 = 213,144.18 : x
  2. Step 2: Convert to fraction form
    356,384.16/491,810.10 = 213,144.18/x
  3. Step 3: Cross multiply
    356,384.16x = 491,810.10 × 213,144.18
  4. Step 4: Simplify right side
    356,384.16x = 104,826,460,480.22
  5. Step 5: Solve for x
    x = 104,826,460,480.22/356,384.16
  6. Step 6: Final answer
    x = 294,138.94

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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.