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Finding the Fourth Proportional to 406,482.41, 609,755.16 and 122,150.77

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Solution

The fourth proportional to 406,482.41, 609,755.16 and 122,150.77 is: 183,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,482.41 : 609,755.16 = 122,150.77 : x
  2. Step 2: Convert to fraction form
    406,482.41/609,755.16 = 122,150.77/x
  3. Step 3: Cross multiply
    406,482.41x = 609,755.16 × 122,150.77
  4. Step 4: Simplify right side
    406,482.41x = 74,482,062,305.47
  5. Step 5: Solve for x
    x = 74,482,062,305.47/406,482.41
  6. Step 6: Final answer
    x = 183,235.63

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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.