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Finding the Fourth Proportional to 423,821.85, 584,884.98 and 232,840.05

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Solution

The fourth proportional to 423,821.85, 584,884.98 and 232,840.05 is: 321,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,821.85 : 584,884.98 = 232,840.05 : x
  2. Step 2: Convert to fraction form
    423,821.85/584,884.98 = 232,840.05/x
  3. Step 3: Cross multiply
    423,821.85x = 584,884.98 × 232,840.05
  4. Step 4: Simplify right side
    423,821.85x = 136,184,647,987.45
  5. Step 5: Solve for x
    x = 136,184,647,987.45/423,821.85
  6. Step 6: Final answer
    x = 321,325.22

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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.