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Finding the Fourth Proportional to 507,837.76, 700,791.60 and 293,047.20

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Solution

The fourth proportional to 507,837.76, 700,791.60 and 293,047.20 is: 404,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,837.76 : 700,791.60 = 293,047.20 : x
  2. Step 2: Convert to fraction form
    507,837.76/700,791.60 = 293,047.20/x
  3. Step 3: Cross multiply
    507,837.76x = 700,791.60 × 293,047.20
  4. Step 4: Simplify right side
    507,837.76x = 205,365,016,163.52
  5. Step 5: Solve for x
    x = 205,365,016,163.52/507,837.76
  6. Step 6: Final answer
    x = 404,390.99

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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.