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Finding the Fourth Proportional to 421,633.58, 581,858.93 and 230,646.96

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Solution

The fourth proportional to 421,633.58, 581,858.93 and 230,646.96 is: 318,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,633.58 : 581,858.93 = 230,646.96 : x
  2. Step 2: Convert to fraction form
    421,633.58/581,858.93 = 230,646.96/x
  3. Step 3: Cross multiply
    421,633.58x = 581,858.93 × 230,646.96
  4. Step 4: Simplify right side
    421,633.58x = 134,203,993,929.97
  5. Step 5: Solve for x
    x = 134,203,993,929.97/421,633.58
  6. Step 6: Final answer
    x = 318,295.32

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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.