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Finding the Fourth Proportional to 369,547.92, 509,976 and 199,782

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Solution

The fourth proportional to 369,547.92, 509,976 and 199,782 is: 275,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,547.92 : 509,976 = 199,782 : x
  2. Step 2: Convert to fraction form
    369,547.92/509,976 = 199,782/x
  3. Step 3: Cross multiply
    369,547.92x = 509,976 × 199,782
  4. Step 4: Simplify right side
    369,547.92x = 101,884,025,232
  5. Step 5: Solve for x
    x = 101,884,025,232/369,547.92
  6. Step 6: Final answer
    x = 275,699.09

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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.