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Finding the Fourth Proportional to 458,097.72, 686,814.34 and 307,965.57

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Solution

The fourth proportional to 458,097.72, 686,814.34 and 307,965.57 is: 461,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,097.72 : 686,814.34 = 307,965.57 : x
  2. Step 2: Convert to fraction form
    458,097.72/686,814.34 = 307,965.57/x
  3. Step 3: Cross multiply
    458,097.72x = 686,814.34 × 307,965.57
  4. Step 4: Simplify right side
    458,097.72x = 211,515,169,702.27
  5. Step 5: Solve for x
    x = 211,515,169,702.27/458,097.72
  6. Step 6: Final answer
    x = 461,725.00

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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.