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Finding the Fourth Proportional to 468,290.56, 702,312.76 and 201,991.87

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Solution

The fourth proportional to 468,290.56, 702,312.76 and 201,991.87 is: 302,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,290.56 : 702,312.76 = 201,991.87 : x
  2. Step 2: Convert to fraction form
    468,290.56/702,312.76 = 201,991.87/x
  3. Step 3: Cross multiply
    468,290.56x = 702,312.76 × 201,991.87
  4. Step 4: Simplify right side
    468,290.56x = 141,861,466,213.97
  5. Step 5: Solve for x
    x = 141,861,466,213.97/468,290.56
  6. Step 6: Final answer
    x = 302,934.71

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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.