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Finding the Fourth Proportional to 566,930.22, 782,363.73 and 312,281.42

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Solution

The fourth proportional to 566,930.22, 782,363.73 and 312,281.42 is: 430,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,930.22 : 782,363.73 = 312,281.42 : x
  2. Step 2: Convert to fraction form
    566,930.22/782,363.73 = 312,281.42/x
  3. Step 3: Cross multiply
    566,930.22x = 782,363.73 × 312,281.42
  4. Step 4: Simplify right side
    566,930.22x = 244,317,652,649.08
  5. Step 5: Solve for x
    x = 244,317,652,649.08/566,930.22
  6. Step 6: Final answer
    x = 430,948.37

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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.