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Finding the Fourth Proportional to 734,003.08, 1,013,037.78 and 411,843.40

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Solution

The fourth proportional to 734,003.08, 1,013,037.78 and 411,843.40 is: 568,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,003.08 : 1,013,037.78 = 411,843.40 : x
  2. Step 2: Convert to fraction form
    734,003.08/1,013,037.78 = 411,843.40/x
  3. Step 3: Cross multiply
    734,003.08x = 1,013,037.78 × 411,843.40
  4. Step 4: Simplify right side
    734,003.08x = 417,212,923,643.65
  5. Step 5: Solve for x
    x = 417,212,923,643.65/734,003.08
  6. Step 6: Final answer
    x = 568,407.59

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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.