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Finding the Fourth Proportional to 1,078,347.84, 1,617,729.12 and 413,448

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Solution

The fourth proportional to 1,078,347.84, 1,617,729.12 and 413,448 is: 620,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,347.84 : 1,617,729.12 = 413,448 : x
  2. Step 2: Convert to fraction form
    1,078,347.84/1,617,729.12 = 413,448/x
  3. Step 3: Cross multiply
    1,078,347.84x = 1,617,729.12 × 413,448
  4. Step 4: Simplify right side
    1,078,347.84x = 668,846,869,205.76
  5. Step 5: Solve for x
    x = 668,846,869,205.76/1,078,347.84
  6. Step 6: Final answer
    x = 620,251.50

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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.