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Finding the Fourth Proportional to 458,488.66, 686,838.34 and 300,237.34

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Solution

The fourth proportional to 458,488.66, 686,838.34 and 300,237.34 is: 449,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,488.66 : 686,838.34 = 300,237.34 : x
  2. Step 2: Convert to fraction form
    458,488.66/686,838.34 = 300,237.34/x
  3. Step 3: Cross multiply
    458,488.66x = 686,838.34 × 300,237.34
  4. Step 4: Simplify right side
    458,488.66x = 206,214,516,211.62
  5. Step 5: Solve for x
    x = 206,214,516,211.62/458,488.66
  6. Step 6: Final answer
    x = 449,770.16

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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.