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Finding the Fourth Proportional to 734,178.56, 1,013,106.84 and 411,843.92

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Solution

The fourth proportional to 734,178.56, 1,013,106.84 and 411,843.92 is: 568,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,178.56 : 1,013,106.84 = 411,843.92 : x
  2. Step 2: Convert to fraction form
    734,178.56/1,013,106.84 = 411,843.92/x
  3. Step 3: Cross multiply
    734,178.56x = 1,013,106.84 × 411,843.92
  4. Step 4: Simplify right side
    734,178.56x = 417,241,892,364.41
  5. Step 5: Solve for x
    x = 417,241,892,364.41/734,178.56
  6. Step 6: Final answer
    x = 568,311.19

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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.