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Finding the Fourth Proportional to 410,736.99, 616,322.30 and 291,563.72

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Solution

The fourth proportional to 410,736.99, 616,322.30 and 291,563.72 is: 437,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,736.99 : 616,322.30 = 291,563.72 : x
  2. Step 2: Convert to fraction form
    410,736.99/616,322.30 = 291,563.72/x
  3. Step 3: Cross multiply
    410,736.99x = 616,322.30 × 291,563.72
  4. Step 4: Simplify right side
    410,736.99x = 179,697,217,967.53
  5. Step 5: Solve for x
    x = 179,697,217,967.53/410,736.99
  6. Step 6: Final answer
    x = 437,499.48

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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.