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Finding the Fourth Proportional to 805,978.74, 1,207,971.66 and 406,733.76

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Solution

The fourth proportional to 805,978.74, 1,207,971.66 and 406,733.76 is: 609,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,978.74 : 1,207,971.66 = 406,733.76 : x
  2. Step 2: Convert to fraction form
    805,978.74/1,207,971.66 = 406,733.76/x
  3. Step 3: Cross multiply
    805,978.74x = 1,207,971.66 × 406,733.76
  4. Step 4: Simplify right side
    805,978.74x = 491,322,855,245.24
  5. Step 5: Solve for x
    x = 491,322,855,245.24/805,978.74
  6. Step 6: Final answer
    x = 609,597.79

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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.