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Finding the Fourth Proportional to 316,053.28, 474,080.38 and 129,064.80

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Solution

The fourth proportional to 316,053.28, 474,080.38 and 129,064.80 is: 193,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,053.28 : 474,080.38 = 129,064.80 : x
  2. Step 2: Convert to fraction form
    316,053.28/474,080.38 = 129,064.80/x
  3. Step 3: Cross multiply
    316,053.28x = 474,080.38 × 129,064.80
  4. Step 4: Simplify right side
    316,053.28x = 61,187,089,428.62
  5. Step 5: Solve for x
    x = 61,187,089,428.62/316,053.28
  6. Step 6: Final answer
    x = 193,597.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.