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Finding the Fourth Proportional to 472,196.98, 654,969.01 and 455,174.02

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Solution

The fourth proportional to 472,196.98, 654,969.01 and 455,174.02 is: 631,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,196.98 : 654,969.01 = 455,174.02 : x
  2. Step 2: Convert to fraction form
    472,196.98/654,969.01 = 455,174.02/x
  3. Step 3: Cross multiply
    472,196.98x = 654,969.01 × 455,174.02
  4. Step 4: Simplify right side
    472,196.98x = 298,124,877,257.12
  5. Step 5: Solve for x
    x = 298,124,877,257.12/472,196.98
  6. Step 6: Final answer
    x = 631,357.02

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