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Finding the Fourth Proportional to 1,215,928.28, 1,823,929.46 and 417,198.52

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Solution

The fourth proportional to 1,215,928.28, 1,823,929.46 and 417,198.52 is: 625,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,928.28 : 1,823,929.46 = 417,198.52 : x
  2. Step 2: Convert to fraction form
    1,215,928.28/1,823,929.46 = 417,198.52/x
  3. Step 3: Cross multiply
    1,215,928.28x = 1,823,929.46 × 417,198.52
  4. Step 4: Simplify right side
    1,215,928.28x = 760,940,671,296.40
  5. Step 5: Solve for x
    x = 760,940,671,296.40/1,215,928.28
  6. Step 6: Final answer
    x = 625,810.49

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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.