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Finding the Fourth Proportional to 298,390.82, 411,779.32 and 164,254.82

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Solution

The fourth proportional to 298,390.82, 411,779.32 and 164,254.82 is: 226,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,390.82 : 411,779.32 = 164,254.82 : x
  2. Step 2: Convert to fraction form
    298,390.82/411,779.32 = 164,254.82/x
  3. Step 3: Cross multiply
    298,390.82x = 411,779.32 × 164,254.82
  4. Step 4: Simplify right side
    298,390.82x = 67,636,738,086.32
  5. Step 5: Solve for x
    x = 67,636,738,086.32/298,390.82
  6. Step 6: Final answer
    x = 226,671.65

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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.