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Finding the Fourth Proportional to 1,974,281.63, 2,961,422.84 and 712,109.12

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Solution

The fourth proportional to 1,974,281.63, 2,961,422.84 and 712,109.12 is: 1,068,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,281.63 : 2,961,422.84 = 712,109.12 : x
  2. Step 2: Convert to fraction form
    1,974,281.63/2,961,422.84 = 712,109.12/x
  3. Step 3: Cross multiply
    1,974,281.63x = 2,961,422.84 × 712,109.12
  4. Step 4: Simplify right side
    1,974,281.63x = 2,108,856,199,513.46
  5. Step 5: Solve for x
    x = 2,108,856,199,513.46/1,974,281.63
  6. Step 6: Final answer
    x = 1,068,163.82

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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.