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Finding the Fourth Proportional to 296,518.92, 409,165.56 and 169,170

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Solution

The fourth proportional to 296,518.92, 409,165.56 and 169,170 is: 233,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,518.92 : 409,165.56 = 169,170 : x
  2. Step 2: Convert to fraction form
    296,518.92/409,165.56 = 169,170/x
  3. Step 3: Cross multiply
    296,518.92x = 409,165.56 × 169,170
  4. Step 4: Simplify right side
    296,518.92x = 69,218,537,785.20
  5. Step 5: Solve for x
    x = 69,218,537,785.20/296,518.92
  6. Step 6: Final answer
    x = 233,437.17

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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.