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Finding the Fourth Proportional to 585,134.22, 877,954.88 and 206,325.54

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Solution

The fourth proportional to 585,134.22, 877,954.88 and 206,325.54 is: 309,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,134.22 : 877,954.88 = 206,325.54 : x
  2. Step 2: Convert to fraction form
    585,134.22/877,954.88 = 206,325.54/x
  3. Step 3: Cross multiply
    585,134.22x = 877,954.88 × 206,325.54
  4. Step 4: Simplify right side
    585,134.22x = 181,144,514,711.64
  5. Step 5: Solve for x
    x = 181,144,514,711.64/585,134.22
  6. Step 6: Final answer
    x = 309,577.71

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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.