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Finding the Fourth Proportional to 734,006.08, 1,013,041.92 and 411,846.40

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Solution

The fourth proportional to 734,006.08, 1,013,041.92 and 411,846.40 is: 568,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,006.08 : 1,013,041.92 = 411,846.40 : x
  2. Step 2: Convert to fraction form
    734,006.08/1,013,041.92 = 411,846.40/x
  3. Step 3: Cross multiply
    734,006.08x = 1,013,041.92 × 411,846.40
  4. Step 4: Simplify right side
    734,006.08x = 417,217,667,801.09
  5. Step 5: Solve for x
    x = 417,217,667,801.09/734,006.08
  6. Step 6: Final answer
    x = 568,411.73

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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.