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Finding the Fourth Proportional to 406,667.07, 610,168.12 and 178,845.66

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Solution

The fourth proportional to 406,667.07, 610,168.12 and 178,845.66 is: 268,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,667.07 : 610,168.12 = 178,845.66 : x
  2. Step 2: Convert to fraction form
    406,667.07/610,168.12 = 178,845.66/x
  3. Step 3: Cross multiply
    406,667.07x = 610,168.12 × 178,845.66
  4. Step 4: Simplify right side
    406,667.07x = 109,125,920,132.36
  5. Step 5: Solve for x
    x = 109,125,920,132.36/406,667.07
  6. Step 6: Final answer
    x = 268,342.16

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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.