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Finding the Fourth Proportional to 363,927.44, 546,197.88 and 153,716.24

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Solution

The fourth proportional to 363,927.44, 546,197.88 and 153,716.24 is: 230,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,927.44 : 546,197.88 = 153,716.24 : x
  2. Step 2: Convert to fraction form
    363,927.44/546,197.88 = 153,716.24/x
  3. Step 3: Cross multiply
    363,927.44x = 546,197.88 × 153,716.24
  4. Step 4: Simplify right side
    363,927.44x = 83,959,484,409.57
  5. Step 5: Solve for x
    x = 83,959,484,409.57/363,927.44
  6. Step 6: Final answer
    x = 230,703.91

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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.