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Finding the Fourth Proportional to 472,200.48, 654,973.86 and 455,177.52

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Solution

The fourth proportional to 472,200.48, 654,973.86 and 455,177.52 is: 631,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,200.48 : 654,973.86 = 455,177.52 : x
  2. Step 2: Convert to fraction form
    472,200.48/654,973.86 = 455,177.52/x
  3. Step 3: Cross multiply
    472,200.48x = 654,973.86 × 455,177.52
  4. Step 4: Simplify right side
    472,200.48x = 298,129,377,259.63
  5. Step 5: Solve for x
    x = 298,129,377,259.63/472,200.48
  6. Step 6: Final answer
    x = 631,361.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.