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Finding the Fourth Proportional to 301,514.47, 416,090.29 and 179,031.30

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Solution

The fourth proportional to 301,514.47, 416,090.29 and 179,031.30 is: 247,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,514.47 : 416,090.29 = 179,031.30 : x
  2. Step 2: Convert to fraction form
    301,514.47/416,090.29 = 179,031.30/x
  3. Step 3: Cross multiply
    301,514.47x = 416,090.29 × 179,031.30
  4. Step 4: Simplify right side
    301,514.47x = 74,493,186,168.65
  5. Step 5: Solve for x
    x = 74,493,186,168.65/301,514.47
  6. Step 6: Final answer
    x = 247,063.39

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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.