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Finding the Fourth Proportional to 402,581.76, 603,971.50 and 200,273.32

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Solution

The fourth proportional to 402,581.76, 603,971.50 and 200,273.32 is: 300,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,581.76 : 603,971.50 = 200,273.32 : x
  2. Step 2: Convert to fraction form
    402,581.76/603,971.50 = 200,273.32/x
  3. Step 3: Cross multiply
    402,581.76x = 603,971.50 × 200,273.32
  4. Step 4: Simplify right side
    402,581.76x = 120,959,377,490.38
  5. Step 5: Solve for x
    x = 120,959,377,490.38/402,581.76
  6. Step 6: Final answer
    x = 300,459.16

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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.