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Finding the Fourth Proportional to 552,706, 827,342.80 and 299,357.24

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Solution

The fourth proportional to 552,706, 827,342.80 and 299,357.24 is: 448,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,706 : 827,342.80 = 299,357.24 : x
  2. Step 2: Convert to fraction form
    552,706/827,342.80 = 299,357.24/x
  3. Step 3: Cross multiply
    552,706x = 827,342.80 × 299,357.24
  4. Step 4: Simplify right side
    552,706x = 247,671,057,141.87
  5. Step 5: Solve for x
    x = 247,671,057,141.87/552,706
  6. Step 6: Final answer
    x = 448,106.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.