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Finding the Fourth Proportional to 243,823.23, 335,728.40 and 213,438.51

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Solution

The fourth proportional to 243,823.23, 335,728.40 and 213,438.51 is: 293,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,823.23 : 335,728.40 = 213,438.51 : x
  2. Step 2: Convert to fraction form
    243,823.23/335,728.40 = 213,438.51/x
  3. Step 3: Cross multiply
    243,823.23x = 335,728.40 × 213,438.51
  4. Step 4: Simplify right side
    243,823.23x = 71,657,368,393.49
  5. Step 5: Solve for x
    x = 71,657,368,393.49/243,823.23
  6. Step 6: Final answer
    x = 293,890.65

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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.