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Finding the Fourth Proportional to 363,926.44, 546,196.38 and 153,715.24

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Solution

The fourth proportional to 363,926.44, 546,196.38 and 153,715.24 is: 230,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,926.44 : 546,196.38 = 153,715.24 : x
  2. Step 2: Convert to fraction form
    363,926.44/546,196.38 = 153,715.24/x
  3. Step 3: Cross multiply
    363,926.44x = 546,196.38 × 153,715.24
  4. Step 4: Simplify right side
    363,926.44x = 83,958,707,638.83
  5. Step 5: Solve for x
    x = 83,958,707,638.83/363,926.44
  6. Step 6: Final answer
    x = 230,702.41

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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.