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Finding the Fourth Proportional to 506,067.48, 698,424.12 and 291,216.60

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Solution

The fourth proportional to 506,067.48, 698,424.12 and 291,216.60 is: 401,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,067.48 : 698,424.12 = 291,216.60 : x
  2. Step 2: Convert to fraction form
    506,067.48/698,424.12 = 291,216.60/x
  3. Step 3: Cross multiply
    506,067.48x = 698,424.12 × 291,216.60
  4. Step 4: Simplify right side
    506,067.48x = 203,392,697,584.39
  5. Step 5: Solve for x
    x = 203,392,697,584.39/506,067.48
  6. Step 6: Final answer
    x = 401,908.25

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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.