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Finding the Fourth Proportional to 293,382.96, 404,894.15 and 164,319.40

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Solution

The fourth proportional to 293,382.96, 404,894.15 and 164,319.40 is: 226,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,382.96 : 404,894.15 = 164,319.40 : x
  2. Step 2: Convert to fraction form
    293,382.96/404,894.15 = 164,319.40/x
  3. Step 3: Cross multiply
    293,382.96x = 404,894.15 × 164,319.40
  4. Step 4: Simplify right side
    293,382.96x = 66,531,963,791.51
  5. Step 5: Solve for x
    x = 66,531,963,791.51/293,382.96
  6. Step 6: Final answer
    x = 226,775.15

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1.5x scale

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.