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Finding the Fourth Proportional to 552,632.34, 827,863.77 and 286,566.78

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Solution

The fourth proportional to 552,632.34, 827,863.77 and 286,566.78 is: 429,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,632.34 : 827,863.77 = 286,566.78 : x
  2. Step 2: Convert to fraction form
    552,632.34/827,863.77 = 286,566.78/x
  3. Step 3: Cross multiply
    552,632.34x = 827,863.77 × 286,566.78
  4. Step 4: Simplify right side
    552,632.34x = 237,238,254,847.56
  5. Step 5: Solve for x
    x = 237,238,254,847.56/552,632.34
  6. Step 6: Final answer
    x = 429,287.68

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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.