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Finding the Fourth Proportional to 524,696.20, 724,188.30 and 333,672.64

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Solution

The fourth proportional to 524,696.20, 724,188.30 and 333,672.64 is: 460,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,696.20 : 724,188.30 = 333,672.64 : x
  2. Step 2: Convert to fraction form
    524,696.20/724,188.30 = 333,672.64/x
  3. Step 3: Cross multiply
    524,696.20x = 724,188.30 × 333,672.64
  4. Step 4: Simplify right side
    524,696.20x = 241,641,821,918.11
  5. Step 5: Solve for x
    x = 241,641,821,918.11/524,696.20
  6. Step 6: Final answer
    x = 460,536.63

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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.