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Finding the Fourth Proportional to 406,859.42, 610,219.87 and 107,342.88

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Solution

The fourth proportional to 406,859.42, 610,219.87 and 107,342.88 is: 160,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,859.42 : 610,219.87 = 107,342.88 : x
  2. Step 2: Convert to fraction form
    406,859.42/610,219.87 = 107,342.88/x
  3. Step 3: Cross multiply
    406,859.42x = 610,219.87 × 107,342.88
  4. Step 4: Simplify right side
    406,859.42x = 65,502,758,010.67
  5. Step 5: Solve for x
    x = 65,502,758,010.67/406,859.42
  6. Step 6: Final answer
    x = 160,996.05

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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.