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Finding the Fourth Proportional to 1,776,186, 2,451,195 and 971,370

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Solution

The fourth proportional to 1,776,186, 2,451,195 and 971,370 is: 1,340,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,186 : 2,451,195 = 971,370 : x
  2. Step 2: Convert to fraction form
    1,776,186/2,451,195 = 971,370/x
  3. Step 3: Cross multiply
    1,776,186x = 2,451,195 × 971,370
  4. Step 4: Simplify right side
    1,776,186x = 2,381,017,287,150
  5. Step 5: Solve for x
    x = 2,381,017,287,150/1,776,186
  6. Step 6: Final answer
    x = 1,340,522.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.