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Finding the Fourth Proportional to 354,173.58, 531,417.78 and 185,654.16

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Solution

The fourth proportional to 354,173.58, 531,417.78 and 185,654.16 is: 278,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,173.58 : 531,417.78 = 185,654.16 : x
  2. Step 2: Convert to fraction form
    354,173.58/531,417.78 = 185,654.16/x
  3. Step 3: Cross multiply
    354,173.58x = 531,417.78 × 185,654.16
  4. Step 4: Simplify right side
    354,173.58x = 98,659,921,554.96
  5. Step 5: Solve for x
    x = 98,659,921,554.96/354,173.58
  6. Step 6: Final answer
    x = 278,563.75

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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.