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Finding the Fourth Proportional to 293,264.96, 404,656.36 and 170,783.24

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Solution

The fourth proportional to 293,264.96, 404,656.36 and 170,783.24 is: 235,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,264.96 : 404,656.36 = 170,783.24 : x
  2. Step 2: Convert to fraction form
    293,264.96/404,656.36 = 170,783.24/x
  3. Step 3: Cross multiply
    293,264.96x = 404,656.36 × 170,783.24
  4. Step 4: Simplify right side
    293,264.96x = 69,108,521,797.17
  5. Step 5: Solve for x
    x = 69,108,521,797.17/293,264.96
  6. Step 6: Final answer
    x = 235,652.17

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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.