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Finding the Fourth Proportional to 517,742.29, 714,210.33 and 356,317.09

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Solution

The fourth proportional to 517,742.29, 714,210.33 and 356,317.09 is: 491,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,742.29 : 714,210.33 = 356,317.09 : x
  2. Step 2: Convert to fraction form
    517,742.29/714,210.33 = 356,317.09/x
  3. Step 3: Cross multiply
    517,742.29x = 714,210.33 × 356,317.09
  4. Step 4: Simplify right side
    517,742.29x = 254,485,346,433.54
  5. Step 5: Solve for x
    x = 254,485,346,433.54/517,742.29
  6. Step 6: Final answer
    x = 491,528.99

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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.