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Finding the Fourth Proportional to 574,900.83, 861,697.30 and 349,765

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Solution

The fourth proportional to 574,900.83, 861,697.30 and 349,765 is: 524,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,900.83 : 861,697.30 = 349,765 : x
  2. Step 2: Convert to fraction form
    574,900.83/861,697.30 = 349,765/x
  3. Step 3: Cross multiply
    574,900.83x = 861,697.30 × 349,765
  4. Step 4: Simplify right side
    574,900.83x = 301,391,556,134.50
  5. Step 5: Solve for x
    x = 301,391,556,134.50/574,900.83
  6. Step 6: Final answer
    x = 524,249.65

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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.