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Finding the Fourth Proportional to 907,998, 1,361,493.72 and 421,149.12

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Solution

The fourth proportional to 907,998, 1,361,493.72 and 421,149.12 is: 631,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,998 : 1,361,493.72 = 421,149.12 : x
  2. Step 2: Convert to fraction form
    907,998/1,361,493.72 = 421,149.12/x
  3. Step 3: Cross multiply
    907,998x = 1,361,493.72 × 421,149.12
  4. Step 4: Simplify right side
    907,998x = 573,391,882,063.53
  5. Step 5: Solve for x
    x = 573,391,882,063.53/907,998
  6. Step 6: Final answer
    x = 631,490.25

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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.