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Finding the Fourth Proportional to 297,092, 409,986.96 and 162,953.12

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Solution

The fourth proportional to 297,092, 409,986.96 and 162,953.12 is: 224,875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,092 : 409,986.96 = 162,953.12 : x
  2. Step 2: Convert to fraction form
    297,092/409,986.96 = 162,953.12/x
  3. Step 3: Cross multiply
    297,092x = 409,986.96 × 162,953.12
  4. Step 4: Simplify right side
    297,092x = 66,808,654,291.32
  5. Step 5: Solve for x
    x = 66,808,654,291.32/297,092
  6. Step 6: Final answer
    x = 224,875.31

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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.