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Finding the Fourth Proportional to 406,596.72, 609,648.12 and 181,915.32

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Solution

The fourth proportional to 406,596.72, 609,648.12 and 181,915.32 is: 272,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,596.72 : 609,648.12 = 181,915.32 : x
  2. Step 2: Convert to fraction form
    406,596.72/609,648.12 = 181,915.32/x
  3. Step 3: Cross multiply
    406,596.72x = 609,648.12 × 181,915.32
  4. Step 4: Simplify right side
    406,596.72x = 110,904,332,837.20
  5. Step 5: Solve for x
    x = 110,904,332,837.20/406,596.72
  6. Step 6: Final answer
    x = 272,762.49

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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.