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Finding the Fourth Proportional to 500,929.24, 691,353.22 and 310,004.14

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Solution

The fourth proportional to 500,929.24, 691,353.22 and 310,004.14 is: 427,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,929.24 : 691,353.22 = 310,004.14 : x
  2. Step 2: Convert to fraction form
    500,929.24/691,353.22 = 310,004.14/x
  3. Step 3: Cross multiply
    500,929.24x = 691,353.22 × 310,004.14
  4. Step 4: Simplify right side
    500,929.24x = 214,322,360,402.33
  5. Step 5: Solve for x
    x = 214,322,360,402.33/500,929.24
  6. Step 6: Final answer
    x = 427,849.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.