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Finding the Fourth Proportional to 824,769.72, 1,135,442.34 and 739,739.16

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Solution

The fourth proportional to 824,769.72, 1,135,442.34 and 739,739.16 is: 1,018,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,769.72 : 1,135,442.34 = 739,739.16 : x
  2. Step 2: Convert to fraction form
    824,769.72/1,135,442.34 = 739,739.16/x
  3. Step 3: Cross multiply
    824,769.72x = 1,135,442.34 × 739,739.16
  4. Step 4: Simplify right side
    824,769.72x = 839,931,162,820.04
  5. Step 5: Solve for x
    x = 839,931,162,820.04/824,769.72
  6. Step 6: Final answer
    x = 1,018,382.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.