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Finding the Fourth Proportional to 564,800.40, 847,364.60 and 227,667.04

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Solution

The fourth proportional to 564,800.40, 847,364.60 and 227,667.04 is: 341,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,800.40 : 847,364.60 = 227,667.04 : x
  2. Step 2: Convert to fraction form
    564,800.40/847,364.60 = 227,667.04/x
  3. Step 3: Cross multiply
    564,800.40x = 847,364.60 × 227,667.04
  4. Step 4: Simplify right side
    564,800.40x = 192,916,990,282.78
  5. Step 5: Solve for x
    x = 192,916,990,282.78/564,800.40
  6. Step 6: Final answer
    x = 341,566.67

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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.