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Finding the Fourth Proportional to 1,753,974, 2,630,961 and 424,278

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Solution

The fourth proportional to 1,753,974, 2,630,961 and 424,278 is: 636,417

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,974 : 2,630,961 = 424,278 : x
  2. Step 2: Convert to fraction form
    1,753,974/2,630,961 = 424,278/x
  3. Step 3: Cross multiply
    1,753,974x = 2,630,961 × 424,278
  4. Step 4: Simplify right side
    1,753,974x = 1,116,258,871,158
  5. Step 5: Solve for x
    x = 1,116,258,871,158/1,753,974
  6. Step 6: Final answer
    x = 636,417

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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.