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Finding the Fourth Proportional to 1,306,624, 1,959,936 and 420,160

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Solution

The fourth proportional to 1,306,624, 1,959,936 and 420,160 is: 630,240

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,624 : 1,959,936 = 420,160 : x
  2. Step 2: Convert to fraction form
    1,306,624/1,959,936 = 420,160/x
  3. Step 3: Cross multiply
    1,306,624x = 1,959,936 × 420,160
  4. Step 4: Simplify right side
    1,306,624x = 823,486,709,760
  5. Step 5: Solve for x
    x = 823,486,709,760/1,306,624
  6. Step 6: Final answer
    x = 630,240

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.