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Finding the Fourth Proportional to 564,716.79, 779,287.83 and 349,852.23

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Solution

The fourth proportional to 564,716.79, 779,287.83 and 349,852.23 is: 482,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,716.79 : 779,287.83 = 349,852.23 : x
  2. Step 2: Convert to fraction form
    564,716.79/779,287.83 = 349,852.23/x
  3. Step 3: Cross multiply
    564,716.79x = 779,287.83 × 349,852.23
  4. Step 4: Simplify right side
    564,716.79x = 272,635,585,137.36
  5. Step 5: Solve for x
    x = 272,635,585,137.36/564,716.79
  6. Step 6: Final answer
    x = 482,782.86

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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.