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Finding the Fourth Proportional to 468,784.90, 646,876.83 and 262,014.58

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Solution

The fourth proportional to 468,784.90, 646,876.83 and 262,014.58 is: 361,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,784.90 : 646,876.83 = 262,014.58 : x
  2. Step 2: Convert to fraction form
    468,784.90/646,876.83 = 262,014.58/x
  3. Step 3: Cross multiply
    468,784.90x = 646,876.83 × 262,014.58
  4. Step 4: Simplify right side
    468,784.90x = 169,491,160,924.18
  5. Step 5: Solve for x
    x = 169,491,160,924.18/468,784.90
  6. Step 6: Final answer
    x = 361,554.22

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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.