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Finding the Fourth Proportional to 342,964.40, 473,133.30 and 222,146

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Solution

The fourth proportional to 342,964.40, 473,133.30 and 222,146 is: 306,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,964.40 : 473,133.30 = 222,146 : x
  2. Step 2: Convert to fraction form
    342,964.40/473,133.30 = 222,146/x
  3. Step 3: Cross multiply
    342,964.40x = 473,133.30 × 222,146
  4. Step 4: Simplify right side
    342,964.40x = 105,104,670,061.80
  5. Step 5: Solve for x
    x = 105,104,670,061.80/342,964.40
  6. Step 6: Final answer
    x = 306,459.42

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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.