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Finding the Fourth Proportional to 546,073.16, 819,478.82 and 191,090.32

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Solution

The fourth proportional to 546,073.16, 819,478.82 and 191,090.32 is: 286,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,073.16 : 819,478.82 = 191,090.32 : x
  2. Step 2: Convert to fraction form
    546,073.16/819,478.82 = 191,090.32/x
  3. Step 3: Cross multiply
    546,073.16x = 819,478.82 × 191,090.32
  4. Step 4: Simplify right side
    546,073.16x = 156,594,469,947.02
  5. Step 5: Solve for x
    x = 156,594,469,947.02/546,073.16
  6. Step 6: Final answer
    x = 286,764.63

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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.