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Finding the Fourth Proportional to 384,400.80, 575,726.40 and 197,193.60

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Solution

The fourth proportional to 384,400.80, 575,726.40 and 197,193.60 is: 295,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,400.80 : 575,726.40 = 197,193.60 : x
  2. Step 2: Convert to fraction form
    384,400.80/575,726.40 = 197,193.60/x
  3. Step 3: Cross multiply
    384,400.80x = 575,726.40 × 197,193.60
  4. Step 4: Simplify right side
    384,400.80x = 113,529,561,431.04
  5. Step 5: Solve for x
    x = 113,529,561,431.04/384,400.80
  6. Step 6: Final answer
    x = 295,341.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.