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Finding the Fourth Proportional to 409,933.08, 565,555.16 and 237,754.50

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Solution

The fourth proportional to 409,933.08, 565,555.16 and 237,754.50 is: 328,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,933.08 : 565,555.16 = 237,754.50 : x
  2. Step 2: Convert to fraction form
    409,933.08/565,555.16 = 237,754.50/x
  3. Step 3: Cross multiply
    409,933.08x = 565,555.16 × 237,754.50
  4. Step 4: Simplify right side
    409,933.08x = 134,463,284,288.22
  5. Step 5: Solve for x
    x = 134,463,284,288.22/409,933.08
  6. Step 6: Final answer
    x = 328,012.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.