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Finding the Fourth Proportional to 363,776.64, 546,006.24 and 223,808.64

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Solution

The fourth proportional to 363,776.64, 546,006.24 and 223,808.64 is: 335,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,776.64 : 546,006.24 = 223,808.64 : x
  2. Step 2: Convert to fraction form
    363,776.64/546,006.24 = 223,808.64/x
  3. Step 3: Cross multiply
    363,776.64x = 546,006.24 × 223,808.64
  4. Step 4: Simplify right side
    363,776.64x = 122,200,914,005.91
  5. Step 5: Solve for x
    x = 122,200,914,005.91/363,776.64
  6. Step 6: Final answer
    x = 335,922.93

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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.