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Finding the Fourth Proportional to 406,851.04, 610,206.90 and 107,334.71

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Solution

The fourth proportional to 406,851.04, 610,206.90 and 107,334.71 is: 160,983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,851.04 : 610,206.90 = 107,334.71 : x
  2. Step 2: Convert to fraction form
    406,851.04/610,206.90 = 107,334.71/x
  3. Step 3: Cross multiply
    406,851.04x = 610,206.90 × 107,334.71
  4. Step 4: Simplify right side
    406,851.04x = 65,496,380,651.50
  5. Step 5: Solve for x
    x = 65,496,380,651.50/406,851.04
  6. Step 6: Final answer
    x = 160,983.69

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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.