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Finding the Fourth Proportional to 1,598,416, 2,397,624 and 416,464

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Solution

The fourth proportional to 1,598,416, 2,397,624 and 416,464 is: 624,696

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598,416 : 2,397,624 = 416,464 : x
  2. Step 2: Convert to fraction form
    1,598,416/2,397,624 = 416,464/x
  3. Step 3: Cross multiply
    1,598,416x = 2,397,624 × 416,464
  4. Step 4: Simplify right side
    1,598,416x = 998,524,081,536
  5. Step 5: Solve for x
    x = 998,524,081,536/1,598,416
  6. Step 6: Final answer
    x = 624,696

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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.