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Finding the Fourth Proportional to 524,851.20, 787,276.80 and 192,556.80

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Solution

The fourth proportional to 524,851.20, 787,276.80 and 192,556.80 is: 288,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,851.20 : 787,276.80 = 192,556.80 : x
  2. Step 2: Convert to fraction form
    524,851.20/787,276.80 = 192,556.80/x
  3. Step 3: Cross multiply
    524,851.20x = 787,276.80 × 192,556.80
  4. Step 4: Simplify right side
    524,851.20x = 151,595,501,322.24
  5. Step 5: Solve for x
    x = 151,595,501,322.24/524,851.20
  6. Step 6: Final answer
    x = 288,835.20

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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.