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Finding the Fourth Proportional to 340,459.50, 469,837.35 and 189,559.74

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Solution

The fourth proportional to 340,459.50, 469,837.35 and 189,559.74 is: 261,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,459.50 : 469,837.35 = 189,559.74 : x
  2. Step 2: Convert to fraction form
    340,459.50/469,837.35 = 189,559.74/x
  3. Step 3: Cross multiply
    340,459.50x = 469,837.35 × 189,559.74
  4. Step 4: Simplify right side
    340,459.50x = 89,062,245,908.29
  5. Step 5: Solve for x
    x = 89,062,245,908.29/340,459.50
  6. Step 6: Final answer
    x = 261,594.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.