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Finding the Fourth Proportional to 922,099.74, 1,383,315.86 and 416,898.48

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Solution

The fourth proportional to 922,099.74, 1,383,315.86 and 416,898.48 is: 625,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,099.74 : 1,383,315.86 = 416,898.48 : x
  2. Step 2: Convert to fraction form
    922,099.74/1,383,315.86 = 416,898.48/x
  3. Step 3: Cross multiply
    922,099.74x = 1,383,315.86 × 416,898.48
  4. Step 4: Simplify right side
    922,099.74x = 576,702,279,393.89
  5. Step 5: Solve for x
    x = 576,702,279,393.89/922,099.74
  6. Step 6: Final answer
    x = 625,422.88

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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.