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Finding the Fourth Proportional to 406,497.16, 609,777.32 and 122,165.52

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Solution

The fourth proportional to 406,497.16, 609,777.32 and 122,165.52 is: 183,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,497.16 : 609,777.32 = 122,165.52 : x
  2. Step 2: Convert to fraction form
    406,497.16/609,777.32 = 122,165.52/x
  3. Step 3: Cross multiply
    406,497.16x = 609,777.32 × 122,165.52
  4. Step 4: Simplify right side
    406,497.16x = 74,493,763,382.01
  5. Step 5: Solve for x
    x = 74,493,763,382.01/406,497.16
  6. Step 6: Final answer
    x = 183,257.77

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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.