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Finding the Fourth Proportional to 1,100,823.95, 1,649,642.28 and 758,916.41

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Solution

The fourth proportional to 1,100,823.95, 1,649,642.28 and 758,916.41 is: 1,137,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,823.95 : 1,649,642.28 = 758,916.41 : x
  2. Step 2: Convert to fraction form
    1,100,823.95/1,649,642.28 = 758,916.41/x
  3. Step 3: Cross multiply
    1,100,823.95x = 1,649,642.28 × 758,916.41
  4. Step 4: Simplify right side
    1,100,823.95x = 1,251,940,596,921.82
  5. Step 5: Solve for x
    x = 1,251,940,596,921.82/1,100,823.95
  6. Step 6: Final answer
    x = 1,137,275.94

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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.