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Finding the Fourth Proportional to 297,628.64, 410,730.54 and 161,663.90

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Solution

The fourth proportional to 297,628.64, 410,730.54 and 161,663.90 is: 223,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,628.64 : 410,730.54 = 161,663.90 : x
  2. Step 2: Convert to fraction form
    297,628.64/410,730.54 = 161,663.90/x
  3. Step 3: Cross multiply
    297,628.64x = 410,730.54 × 161,663.90
  4. Step 4: Simplify right side
    297,628.64x = 66,400,300,945.51
  5. Step 5: Solve for x
    x = 66,400,300,945.51/297,628.64
  6. Step 6: Final answer
    x = 223,097.82

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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.