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Finding the Fourth Proportional to 409,095.87, 612,807.24 and 333,463.95

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Solution

The fourth proportional to 409,095.87, 612,807.24 and 333,463.95 is: 499,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,095.87 : 612,807.24 = 333,463.95 : x
  2. Step 2: Convert to fraction form
    409,095.87/612,807.24 = 333,463.95/x
  3. Step 3: Cross multiply
    409,095.87x = 612,807.24 × 333,463.95
  4. Step 4: Simplify right side
    409,095.87x = 204,349,122,839.00
  5. Step 5: Solve for x
    x = 204,349,122,839.00/409,095.87
  6. Step 6: Final answer
    x = 499,514.02

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Why These Related Problems?

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