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Finding the Fourth Proportional to 539,174.42, 808,865.31 and 206,724.50

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Solution

The fourth proportional to 539,174.42, 808,865.31 and 206,724.50 is: 310,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,174.42 : 808,865.31 = 206,724.50 : x
  2. Step 2: Convert to fraction form
    539,174.42/808,865.31 = 206,724.50/x
  3. Step 3: Cross multiply
    539,174.42x = 808,865.31 × 206,724.50
  4. Step 4: Simplify right side
    539,174.42x = 167,212,276,777.10
  5. Step 5: Solve for x
    x = 167,212,276,777.10/539,174.42
  6. Step 6: Final answer
    x = 310,126.50

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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.