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Finding the Fourth Proportional to 1,253,828.52, 1,730,724.84 and 744,527.16

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Solution

The fourth proportional to 1,253,828.52, 1,730,724.84 and 744,527.16 is: 1,027,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,828.52 : 1,730,724.84 = 744,527.16 : x
  2. Step 2: Convert to fraction form
    1,253,828.52/1,730,724.84 = 744,527.16/x
  3. Step 3: Cross multiply
    1,253,828.52x = 1,730,724.84 × 744,527.16
  4. Step 4: Simplify right side
    1,253,828.52x = 1,288,571,649,866.65
  5. Step 5: Solve for x
    x = 1,288,571,649,866.65/1,253,828.52
  6. Step 6: Final answer
    x = 1,027,709.63

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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.