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Finding the Fourth Proportional to 406,093.08, 609,264.30 and 181,642.32

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Solution

The fourth proportional to 406,093.08, 609,264.30 and 181,642.32 is: 272,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,093.08 : 609,264.30 = 181,642.32 : x
  2. Step 2: Convert to fraction form
    406,093.08/609,264.30 = 181,642.32/x
  3. Step 3: Cross multiply
    406,093.08x = 609,264.30 × 181,642.32
  4. Step 4: Simplify right side
    406,093.08x = 110,668,180,945.18
  5. Step 5: Solve for x
    x = 110,668,180,945.18/406,093.08
  6. Step 6: Final answer
    x = 272,519.25

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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.