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Finding the Fourth Proportional to 467,956.54, 702,008.25 and 201,792.70

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Solution

The fourth proportional to 467,956.54, 702,008.25 and 201,792.70 is: 302,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,956.54 : 702,008.25 = 201,792.70 : x
  2. Step 2: Convert to fraction form
    467,956.54/702,008.25 = 201,792.70/x
  3. Step 3: Cross multiply
    467,956.54x = 702,008.25 × 201,792.70
  4. Step 4: Simplify right side
    467,956.54x = 141,660,140,189.78
  5. Step 5: Solve for x
    x = 141,660,140,189.78/467,956.54
  6. Step 6: Final answer
    x = 302,720.72

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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.