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Finding the Fourth Proportional to 285,056.28, 393,055.74 and 213,206.04

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Solution

The fourth proportional to 285,056.28, 393,055.74 and 213,206.04 is: 293,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,056.28 : 393,055.74 = 213,206.04 : x
  2. Step 2: Convert to fraction form
    285,056.28/393,055.74 = 213,206.04/x
  3. Step 3: Cross multiply
    285,056.28x = 393,055.74 × 213,206.04
  4. Step 4: Simplify right side
    285,056.28x = 83,801,857,824.67
  5. Step 5: Solve for x
    x = 83,801,857,824.67/285,056.28
  6. Step 6: Final answer
    x = 293,983.55

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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.