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Finding the Fourth Proportional to 577,882.25, 866,971.25 and 338,197.98

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Solution

The fourth proportional to 577,882.25, 866,971.25 and 338,197.98 is: 507,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,882.25 : 866,971.25 = 338,197.98 : x
  2. Step 2: Convert to fraction form
    577,882.25/866,971.25 = 338,197.98/x
  3. Step 3: Cross multiply
    577,882.25x = 866,971.25 × 338,197.98
  4. Step 4: Simplify right side
    577,882.25x = 293,207,925,468.08
  5. Step 5: Solve for x
    x = 293,207,925,468.08/577,882.25
  6. Step 6: Final answer
    x = 507,383.51

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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.