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Finding the Fourth Proportional to 572,922.24, 859,392 and 198,954.24

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Solution

The fourth proportional to 572,922.24, 859,392 and 198,954.24 is: 298,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,922.24 : 859,392 = 198,954.24 : x
  2. Step 2: Convert to fraction form
    572,922.24/859,392 = 198,954.24/x
  3. Step 3: Cross multiply
    572,922.24x = 859,392 × 198,954.24
  4. Step 4: Simplify right side
    572,922.24x = 170,979,682,222.08
  5. Step 5: Solve for x
    x = 170,979,682,222.08/572,922.24
  6. Step 6: Final answer
    x = 298,434.36

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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.