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Finding the Fourth Proportional to 416,722.01, 574,959.69 and 261,690.01

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Solution

The fourth proportional to 416,722.01, 574,959.69 and 261,690.01 is: 361,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,722.01 : 574,959.69 = 261,690.01 : x
  2. Step 2: Convert to fraction form
    416,722.01/574,959.69 = 261,690.01/x
  3. Step 3: Cross multiply
    416,722.01x = 574,959.69 × 261,690.01
  4. Step 4: Simplify right side
    416,722.01x = 150,461,205,717.25
  5. Step 5: Solve for x
    x = 150,461,205,717.25/416,722.01
  6. Step 6: Final answer
    x = 361,058.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.