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Finding the Fourth Proportional to 519,696.68, 716,786.24 and 447,221.74

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Solution

The fourth proportional to 519,696.68, 716,786.24 and 447,221.74 is: 616,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,696.68 : 716,786.24 = 447,221.74 : x
  2. Step 2: Convert to fraction form
    519,696.68/716,786.24 = 447,221.74/x
  3. Step 3: Cross multiply
    519,696.68x = 716,786.24 × 447,221.74
  4. Step 4: Simplify right side
    519,696.68x = 320,562,389,460.86
  5. Step 5: Solve for x
    x = 320,562,389,460.86/519,696.68
  6. Step 6: Final answer
    x = 616,825.93

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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.