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Finding the Fourth Proportional to 459,833.19, 689,741.82 and 206,934.72

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Solution

The fourth proportional to 459,833.19, 689,741.82 and 206,934.72 is: 310,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,833.19 : 689,741.82 = 206,934.72 : x
  2. Step 2: Convert to fraction form
    459,833.19/689,741.82 = 206,934.72/x
  3. Step 3: Cross multiply
    459,833.19x = 689,741.82 × 206,934.72
  4. Step 4: Simplify right side
    459,833.19x = 142,731,530,393.99
  5. Step 5: Solve for x
    x = 142,731,530,393.99/459,833.19
  6. Step 6: Final answer
    x = 310,398.50

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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.