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Finding the Fourth Proportional to 702,423.75, 969,346.50 and 380,136.20

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Solution

The fourth proportional to 702,423.75, 969,346.50 and 380,136.20 is: 524,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,423.75 : 969,346.50 = 380,136.20 : x
  2. Step 2: Convert to fraction form
    702,423.75/969,346.50 = 380,136.20/x
  3. Step 3: Cross multiply
    702,423.75x = 969,346.50 × 380,136.20
  4. Step 4: Simplify right side
    702,423.75x = 368,483,694,993.30
  5. Step 5: Solve for x
    x = 368,483,694,993.30/702,423.75
  6. Step 6: Final answer
    x = 524,588.89

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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.