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Finding the Fourth Proportional to 297,896.83, 411,088.89 and 161,927.28

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Solution

The fourth proportional to 297,896.83, 411,088.89 and 161,927.28 is: 223,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,896.83 : 411,088.89 = 161,927.28 : x
  2. Step 2: Convert to fraction form
    297,896.83/411,088.89 = 161,927.28/x
  3. Step 3: Cross multiply
    297,896.83x = 411,088.89 × 161,927.28
  4. Step 4: Simplify right side
    297,896.83x = 66,566,506,730.28
  5. Step 5: Solve for x
    x = 66,566,506,730.28/297,896.83
  6. Step 6: Final answer
    x = 223,454.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.