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Finding the Fourth Proportional to 464,796.74, 641,432.22 and 260,860.30

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Solution

The fourth proportional to 464,796.74, 641,432.22 and 260,860.30 is: 359,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,796.74 : 641,432.22 = 260,860.30 : x
  2. Step 2: Convert to fraction form
    464,796.74/641,432.22 = 260,860.30/x
  3. Step 3: Cross multiply
    464,796.74x = 641,432.22 × 260,860.30
  4. Step 4: Simplify right side
    464,796.74x = 167,324,203,664.11
  5. Step 5: Solve for x
    x = 167,324,203,664.11/464,796.74
  6. Step 6: Final answer
    x = 359,994.35

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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.