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Finding the Fourth Proportional to 410,665.49, 616,384.67 and 208,406.82

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Solution

The fourth proportional to 410,665.49, 616,384.67 and 208,406.82 is: 312,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,665.49 : 616,384.67 = 208,406.82 : x
  2. Step 2: Convert to fraction form
    410,665.49/616,384.67 = 208,406.82/x
  3. Step 3: Cross multiply
    410,665.49x = 616,384.67 × 208,406.82
  4. Step 4: Simplify right side
    410,665.49x = 128,458,767,929.42
  5. Step 5: Solve for x
    x = 128,458,767,929.42/410,665.49
  6. Step 6: Final answer
    x = 312,806.34

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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.