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Finding the Fourth Proportional to 522,783.92, 784,257.93 and 223,266.03

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Solution

The fourth proportional to 522,783.92, 784,257.93 and 223,266.03 is: 334,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,783.92 : 784,257.93 = 223,266.03 : x
  2. Step 2: Convert to fraction form
    522,783.92/784,257.93 = 223,266.03/x
  3. Step 3: Cross multiply
    522,783.92x = 784,257.93 × 223,266.03
  4. Step 4: Simplify right side
    522,783.92x = 175,098,154,527.12
  5. Step 5: Solve for x
    x = 175,098,154,527.12/522,783.92
  6. Step 6: Final answer
    x = 334,934.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.