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Finding the Fourth Proportional to 297,869.86, 411,063.16 and 161,904.10

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Solution

The fourth proportional to 297,869.86, 411,063.16 and 161,904.10 is: 223,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,869.86 : 411,063.16 = 161,904.10 : x
  2. Step 2: Convert to fraction form
    297,869.86/411,063.16 = 161,904.10/x
  3. Step 3: Cross multiply
    297,869.86x = 411,063.16 × 161,904.10
  4. Step 4: Simplify right side
    297,869.86x = 66,552,810,962.96
  5. Step 5: Solve for x
    x = 66,552,810,962.96/297,869.86
  6. Step 6: Final answer
    x = 223,429.15

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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.