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Finding the Fourth Proportional to 293,332, 404,798.16 and 159,196

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Solution

The fourth proportional to 293,332, 404,798.16 and 159,196 is: 219,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,332 : 404,798.16 = 159,196 : x
  2. Step 2: Convert to fraction form
    293,332/404,798.16 = 159,196/x
  3. Step 3: Cross multiply
    293,332x = 404,798.16 × 159,196
  4. Step 4: Simplify right side
    293,332x = 64,442,247,879.36
  5. Step 5: Solve for x
    x = 64,442,247,879.36/293,332
  6. Step 6: Final answer
    x = 219,690.48

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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.