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Finding the Fourth Proportional to 552,778.66, 829,323.51 and 197,843.14

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Solution

The fourth proportional to 552,778.66, 829,323.51 and 197,843.14 is: 296,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,778.66 : 829,323.51 = 197,843.14 : x
  2. Step 2: Convert to fraction form
    552,778.66/829,323.51 = 197,843.14/x
  3. Step 3: Cross multiply
    552,778.66x = 829,323.51 × 197,843.14
  4. Step 4: Simplify right side
    552,778.66x = 164,075,967,294.22
  5. Step 5: Solve for x
    x = 164,075,967,294.22/552,778.66
  6. Step 6: Final answer
    x = 296,820.37

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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.