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Finding the Fourth Proportional to 364,094.20, 545,922.60 and 186,947.20

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Solution

The fourth proportional to 364,094.20, 545,922.60 and 186,947.20 is: 280,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,094.20 : 545,922.60 = 186,947.20 : x
  2. Step 2: Convert to fraction form
    364,094.20/545,922.60 = 186,947.20/x
  3. Step 3: Cross multiply
    364,094.20x = 545,922.60 × 186,947.20
  4. Step 4: Simplify right side
    364,094.20x = 102,058,701,486.72
  5. Step 5: Solve for x
    x = 102,058,701,486.72/364,094.20
  6. Step 6: Final answer
    x = 280,308.51

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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.