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Finding the Fourth Proportional to 735,122.32, 1,014,464.96 and 412,846

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Solution

The fourth proportional to 735,122.32, 1,014,464.96 and 412,846 is: 569,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,122.32 : 1,014,464.96 = 412,846 : x
  2. Step 2: Convert to fraction form
    735,122.32/1,014,464.96 = 412,846/x
  3. Step 3: Cross multiply
    735,122.32x = 1,014,464.96 × 412,846
  4. Step 4: Simplify right side
    735,122.32x = 418,817,800,876.16
  5. Step 5: Solve for x
    x = 418,817,800,876.16/735,122.32
  6. Step 6: Final answer
    x = 569,725.32

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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.