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Finding the Fourth Proportional to 406,495.95, 609,497.69 and 181,814.51

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Solution

The fourth proportional to 406,495.95, 609,497.69 and 181,814.51 is: 272,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,495.95 : 609,497.69 = 181,814.51 : x
  2. Step 2: Convert to fraction form
    406,495.95/609,497.69 = 181,814.51/x
  3. Step 3: Cross multiply
    406,495.95x = 609,497.69 × 181,814.51
  4. Step 4: Simplify right side
    406,495.95x = 110,815,519,896.92
  5. Step 5: Solve for x
    x = 110,815,519,896.92/406,495.95
  6. Step 6: Final answer
    x = 272,611.62

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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.