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Finding the Fourth Proportional to 584,725.80, 876,408.30 and 269,214.60

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Solution

The fourth proportional to 584,725.80, 876,408.30 and 269,214.60 is: 403,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,725.80 : 876,408.30 = 269,214.60 : x
  2. Step 2: Convert to fraction form
    584,725.80/876,408.30 = 269,214.60/x
  3. Step 3: Cross multiply
    584,725.80x = 876,408.30 × 269,214.60
  4. Step 4: Simplify right side
    584,725.80x = 235,941,909,921.18
  5. Step 5: Solve for x
    x = 235,941,909,921.18/584,725.80
  6. Step 6: Final answer
    x = 403,508.64

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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.