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Finding the Fourth Proportional to 768,285.30, 1,152,418.68 and 199,616.07

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Solution

The fourth proportional to 768,285.30, 1,152,418.68 and 199,616.07 is: 299,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,285.30 : 1,152,418.68 = 199,616.07 : x
  2. Step 2: Convert to fraction form
    768,285.30/1,152,418.68 = 199,616.07/x
  3. Step 3: Cross multiply
    768,285.30x = 1,152,418.68 × 199,616.07
  4. Step 4: Simplify right side
    768,285.30x = 230,041,287,896.19
  5. Step 5: Solve for x
    x = 230,041,287,896.19/768,285.30
  6. Step 6: Final answer
    x = 299,421.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.