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Finding the Fourth Proportional to 299,696.16, 413,573.67 and 163,730.82

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Solution

The fourth proportional to 299,696.16, 413,573.67 and 163,730.82 is: 225,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,696.16 : 413,573.67 = 163,730.82 : x
  2. Step 2: Convert to fraction form
    299,696.16/413,573.67 = 163,730.82/x
  3. Step 3: Cross multiply
    299,696.16x = 413,573.67 × 163,730.82
  4. Step 4: Simplify right side
    299,696.16x = 67,714,756,119.51
  5. Step 5: Solve for x
    x = 67,714,756,119.51/299,696.16
  6. Step 6: Final answer
    x = 225,944.69

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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.