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Finding the Fourth Proportional to 406,014.97, 609,106.52 and 121,694.03

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Solution

The fourth proportional to 406,014.97, 609,106.52 and 121,694.03 is: 182,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,014.97 : 609,106.52 = 121,694.03 : x
  2. Step 2: Convert to fraction form
    406,014.97/609,106.52 = 121,694.03/x
  3. Step 3: Cross multiply
    406,014.97x = 609,106.52 × 121,694.03
  4. Step 4: Simplify right side
    406,014.97x = 74,124,627,118.08
  5. Step 5: Solve for x
    x = 74,124,627,118.08/406,014.97
  6. Step 6: Final answer
    x = 182,566.24

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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.