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Finding the Fourth Proportional to 500,166.24, 690,284.88 and 285,359.28

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Solution

The fourth proportional to 500,166.24, 690,284.88 and 285,359.28 is: 393,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,166.24 : 690,284.88 = 285,359.28 : x
  2. Step 2: Convert to fraction form
    500,166.24/690,284.88 = 285,359.28/x
  3. Step 3: Cross multiply
    500,166.24x = 690,284.88 × 285,359.28
  4. Step 4: Simplify right side
    500,166.24x = 196,979,196,351.69
  5. Step 5: Solve for x
    x = 196,979,196,351.69/500,166.24
  6. Step 6: Final answer
    x = 393,827.45

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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.