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Finding the Fourth Proportional to 514,362.20, 709,825.53 and 284,922.99

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Solution

The fourth proportional to 514,362.20, 709,825.53 and 284,922.99 is: 393,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,362.20 : 709,825.53 = 284,922.99 : x
  2. Step 2: Convert to fraction form
    514,362.20/709,825.53 = 284,922.99/x
  3. Step 3: Cross multiply
    514,362.20x = 709,825.53 × 284,922.99
  4. Step 4: Simplify right side
    514,362.20x = 202,245,613,454.40
  5. Step 5: Solve for x
    x = 202,245,613,454.40/514,362.20
  6. Step 6: Final answer
    x = 393,196.89

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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.