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Finding the Fourth Proportional to 1,974,792.96, 2,961,576.88 and 712,456.48

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Solution

The fourth proportional to 1,974,792.96, 2,961,576.88 and 712,456.48 is: 1,068,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,792.96 : 2,961,576.88 = 712,456.48 : x
  2. Step 2: Convert to fraction form
    1,974,792.96/2,961,576.88 = 712,456.48/x
  3. Step 3: Cross multiply
    1,974,792.96x = 2,961,576.88 × 712,456.48
  4. Step 4: Simplify right side
    1,974,792.96x = 2,109,994,639,174.18
  5. Step 5: Solve for x
    x = 2,109,994,639,174.18/1,974,792.96
  6. Step 6: Final answer
    x = 1,068,463.72

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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.