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Finding the Fourth Proportional to 466,716.14, 700,111.05 and 229,929.66

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Solution

The fourth proportional to 466,716.14, 700,111.05 and 229,929.66 is: 344,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,716.14 : 700,111.05 = 229,929.66 : x
  2. Step 2: Convert to fraction form
    466,716.14/700,111.05 = 229,929.66/x
  3. Step 3: Cross multiply
    466,716.14x = 700,111.05 × 229,929.66
  4. Step 4: Simplify right side
    466,716.14x = 160,976,295,688.74
  5. Step 5: Solve for x
    x = 160,976,295,688.74/466,716.14
  6. Step 6: Final answer
    x = 344,912.64

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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.