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Finding the Fourth Proportional to 406,597.72, 609,649.62 and 181,916.32

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Solution

The fourth proportional to 406,597.72, 609,649.62 and 181,916.32 is: 272,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,597.72 : 609,649.62 = 181,916.32 : x
  2. Step 2: Convert to fraction form
    406,597.72/609,649.62 = 181,916.32/x
  3. Step 3: Cross multiply
    406,597.72x = 609,649.62 × 181,916.32
  4. Step 4: Simplify right side
    406,597.72x = 110,905,215,359.80
  5. Step 5: Solve for x
    x = 110,905,215,359.80/406,597.72
  6. Step 6: Final answer
    x = 272,763.99

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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.