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Finding the Fourth Proportional to 306,407.51, 422,867.91 and 170,467.07

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Solution

The fourth proportional to 306,407.51, 422,867.91 and 170,467.07 is: 235,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,407.51 : 422,867.91 = 170,467.07 : x
  2. Step 2: Convert to fraction form
    306,407.51/422,867.91 = 170,467.07/x
  3. Step 3: Cross multiply
    306,407.51x = 422,867.91 × 170,467.07
  4. Step 4: Simplify right side
    306,407.51x = 72,085,053,614.72
  5. Step 5: Solve for x
    x = 72,085,053,614.72/306,407.51
  6. Step 6: Final answer
    x = 235,258.77

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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.