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Finding the Fourth Proportional to 363,858.92, 545,846.78 and 153,527.88

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Solution

The fourth proportional to 363,858.92, 545,846.78 and 153,527.88 is: 230,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,858.92 : 545,846.78 = 153,527.88 : x
  2. Step 2: Convert to fraction form
    363,858.92/545,846.78 = 153,527.88/x
  3. Step 3: Cross multiply
    363,858.92x = 545,846.78 × 153,527.88
  4. Step 4: Simplify right side
    363,858.92x = 83,802,698,938.23
  5. Step 5: Solve for x
    x = 83,802,698,938.23/363,858.92
  6. Step 6: Final answer
    x = 230,316.46

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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.