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Finding the Fourth Proportional to 691,414.74, 954,215.01 and 419,551.52

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Solution

The fourth proportional to 691,414.74, 954,215.01 and 419,551.52 is: 579,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,414.74 : 954,215.01 = 419,551.52 : x
  2. Step 2: Convert to fraction form
    691,414.74/954,215.01 = 419,551.52/x
  3. Step 3: Cross multiply
    691,414.74x = 954,215.01 × 419,551.52
  4. Step 4: Simplify right side
    691,414.74x = 400,342,357,852.32
  5. Step 5: Solve for x
    x = 400,342,357,852.32/691,414.74
  6. Step 6: Final answer
    x = 579,019.13

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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.