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Finding the Fourth Proportional to 546,926.96, 820,385.58 and 191,857.80

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Solution

The fourth proportional to 546,926.96, 820,385.58 and 191,857.80 is: 287,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,926.96 : 820,385.58 = 191,857.80 : x
  2. Step 2: Convert to fraction form
    546,926.96/820,385.58 = 191,857.80/x
  3. Step 3: Cross multiply
    546,926.96x = 820,385.58 × 191,857.80
  4. Step 4: Simplify right side
    546,926.96x = 157,397,372,530.52
  5. Step 5: Solve for x
    x = 157,397,372,530.52/546,926.96
  6. Step 6: Final answer
    x = 287,785.00

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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.