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Finding the Fourth Proportional to 1,412,906.09, 1,949,895.38 and 832,515.98

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Solution

The fourth proportional to 1,412,906.09, 1,949,895.38 and 832,515.98 is: 1,148,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,906.09 : 1,949,895.38 = 832,515.98 : x
  2. Step 2: Convert to fraction form
    1,412,906.09/1,949,895.38 = 832,515.98/x
  3. Step 3: Cross multiply
    1,412,906.09x = 1,949,895.38 × 832,515.98
  4. Step 4: Simplify right side
    1,412,906.09x = 1,623,319,055,509.99
  5. Step 5: Solve for x
    x = 1,623,319,055,509.99/1,412,906.09
  6. Step 6: Final answer
    x = 1,148,922.12

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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.