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Finding the Fourth Proportional to 809,947, 1,117,726.86 and 452,251

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Solution

The fourth proportional to 809,947, 1,117,726.86 and 452,251 is: 624,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,947 : 1,117,726.86 = 452,251 : x
  2. Step 2: Convert to fraction form
    809,947/1,117,726.86 = 452,251/x
  3. Step 3: Cross multiply
    809,947x = 1,117,726.86 × 452,251
  4. Step 4: Simplify right side
    809,947x = 505,493,090,161.86
  5. Step 5: Solve for x
    x = 505,493,090,161.86/809,947
  6. Step 6: Final answer
    x = 624,106.38

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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.