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Finding the Fourth Proportional to 406,788.19, 610,188.62 and 154,000.82

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Solution

The fourth proportional to 406,788.19, 610,188.62 and 154,000.82 is: 231,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,788.19 : 610,188.62 = 154,000.82 : x
  2. Step 2: Convert to fraction form
    406,788.19/610,188.62 = 154,000.82/x
  3. Step 3: Cross multiply
    406,788.19x = 610,188.62 × 154,000.82
  4. Step 4: Simplify right side
    406,788.19x = 93,969,547,834.67
  5. Step 5: Solve for x
    x = 93,969,547,834.67/406,788.19
  6. Step 6: Final answer
    x = 231,003.63

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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.