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Finding the Fourth Proportional to 514,181.68, 709,561.82 and 284,734.42

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Solution

The fourth proportional to 514,181.68, 709,561.82 and 284,734.42 is: 392,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,181.68 : 709,561.82 = 284,734.42 : x
  2. Step 2: Convert to fraction form
    514,181.68/709,561.82 = 284,734.42/x
  3. Step 3: Cross multiply
    514,181.68x = 709,561.82 × 284,734.42
  4. Step 4: Simplify right side
    514,181.68x = 202,036,673,271.84
  5. Step 5: Solve for x
    x = 202,036,673,271.84/514,181.68
  6. Step 6: Final answer
    x = 392,928.57

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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.