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Finding the Fourth Proportional to 468,892.87, 646,834.30 and 296,520.35

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Solution

The fourth proportional to 468,892.87, 646,834.30 and 296,520.35 is: 409,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,892.87 : 646,834.30 = 296,520.35 : x
  2. Step 2: Convert to fraction form
    468,892.87/646,834.30 = 296,520.35/x
  3. Step 3: Cross multiply
    468,892.87x = 646,834.30 × 296,520.35
  4. Step 4: Simplify right side
    468,892.87x = 191,799,529,052.53
  5. Step 5: Solve for x
    x = 191,799,529,052.53/468,892.87
  6. Step 6: Final answer
    x = 409,047.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.