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Finding the Fourth Proportional to 417,122.02, 575,322.64 and 273,829.78

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Solution

The fourth proportional to 417,122.02, 575,322.64 and 273,829.78 is: 377,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,122.02 : 575,322.64 = 273,829.78 : x
  2. Step 2: Convert to fraction form
    417,122.02/575,322.64 = 273,829.78/x
  3. Step 3: Cross multiply
    417,122.02x = 575,322.64 × 273,829.78
  4. Step 4: Simplify right side
    417,122.02x = 157,540,471,940.22
  5. Step 5: Solve for x
    x = 157,540,471,940.22/417,122.02
  6. Step 6: Final answer
    x = 377,684.38

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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.