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Finding the Fourth Proportional to 5,194,382.29, 7,791,573.50 and 1,407,865.16

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Solution

The fourth proportional to 5,194,382.29, 7,791,573.50 and 1,407,865.16 is: 2,111,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194,382.29 : 7,791,573.50 = 1,407,865.16 : x
  2. Step 2: Convert to fraction form
    5,194,382.29/7,791,573.50 = 1,407,865.16/x
  3. Step 3: Cross multiply
    5,194,382.29x = 7,791,573.50 × 1,407,865.16
  4. Step 4: Simplify right side
    5,194,382.29x = 10,969,484,865,189.93
  5. Step 5: Solve for x
    x = 10,969,484,865,189.93/5,194,382.29
  6. Step 6: Final answer
    x = 2,111,797.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.