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Finding the Fourth Proportional to 508,914, 702,301.44 and 282,561.12

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Solution

The fourth proportional to 508,914, 702,301.44 and 282,561.12 is: 389,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,914 : 702,301.44 = 282,561.12 : x
  2. Step 2: Convert to fraction form
    508,914/702,301.44 = 282,561.12/x
  3. Step 3: Cross multiply
    508,914x = 702,301.44 × 282,561.12
  4. Step 4: Simplify right side
    508,914x = 198,443,081,464.01
  5. Step 5: Solve for x
    x = 198,443,081,464.01/508,914
  6. Step 6: Final answer
    x = 389,934.41

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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.