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Finding the Fourth Proportional to 691,748.40, 954,467.64 and 419,959.38

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Solution

The fourth proportional to 691,748.40, 954,467.64 and 419,959.38 is: 579,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,748.40 : 954,467.64 = 419,959.38 : x
  2. Step 2: Convert to fraction form
    691,748.40/954,467.64 = 419,959.38/x
  3. Step 3: Cross multiply
    691,748.40x = 954,467.64 × 419,959.38
  4. Step 4: Simplify right side
    691,748.40x = 400,837,638,324.46
  5. Step 5: Solve for x
    x = 400,837,638,324.46/691,748.40
  6. Step 6: Final answer
    x = 579,455.82

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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.