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Finding the Fourth Proportional to 566,865.84, 782,238.92 and 312,217.01

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Solution

The fourth proportional to 566,865.84, 782,238.92 and 312,217.01 is: 430,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,865.84 : 782,238.92 = 312,217.01 : x
  2. Step 2: Convert to fraction form
    566,865.84/782,238.92 = 312,217.01/x
  3. Step 3: Cross multiply
    566,865.84x = 782,238.92 × 312,217.01
  4. Step 4: Simplify right side
    566,865.84x = 244,228,291,235.75
  5. Step 5: Solve for x
    x = 244,228,291,235.75/566,865.84
  6. Step 6: Final answer
    x = 430,839.67

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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.