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Finding the Fourth Proportional to 468,923.52, 646,640.24 and 417,076.91

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Solution

The fourth proportional to 468,923.52, 646,640.24 and 417,076.91 is: 575,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,923.52 : 646,640.24 = 417,076.91 : x
  2. Step 2: Convert to fraction form
    468,923.52/646,640.24 = 417,076.91/x
  3. Step 3: Cross multiply
    468,923.52x = 646,640.24 × 417,076.91
  4. Step 4: Simplify right side
    468,923.52x = 269,698,707,862.27
  5. Step 5: Solve for x
    x = 269,698,707,862.27/468,923.52
  6. Step 6: Final answer
    x = 575,144.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.