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Finding the Fourth Proportional to 406,617.39, 609,097.74 and 192,737.03

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Solution

The fourth proportional to 406,617.39, 609,097.74 and 192,737.03 is: 288,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,617.39 : 609,097.74 = 192,737.03 : x
  2. Step 2: Convert to fraction form
    406,617.39/609,097.74 = 192,737.03/x
  3. Step 3: Cross multiply
    406,617.39x = 609,097.74 × 192,737.03
  4. Step 4: Simplify right side
    406,617.39x = 117,395,686,341.82
  5. Step 5: Solve for x
    x = 117,395,686,341.82/406,617.39
  6. Step 6: Final answer
    x = 288,712.90

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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.