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Finding the Fourth Proportional to 567,109.50, 782,585.91 and 308,987.34

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Solution

The fourth proportional to 567,109.50, 782,585.91 and 308,987.34 is: 426,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,109.50 : 782,585.91 = 308,987.34 : x
  2. Step 2: Convert to fraction form
    567,109.50/782,585.91 = 308,987.34/x
  3. Step 3: Cross multiply
    567,109.50x = 782,585.91 × 308,987.34
  4. Step 4: Simplify right side
    567,109.50x = 241,809,138,652.38
  5. Step 5: Solve for x
    x = 241,809,138,652.38/567,109.50
  6. Step 6: Final answer
    x = 426,388.80

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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.