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Finding the Fourth Proportional to 542,926.80, 814,283.34 and 183,062.64

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Solution

The fourth proportional to 542,926.80, 814,283.34 and 183,062.64 is: 274,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,926.80 : 814,283.34 = 183,062.64 : x
  2. Step 2: Convert to fraction form
    542,926.80/814,283.34 = 183,062.64/x
  3. Step 3: Cross multiply
    542,926.80x = 814,283.34 × 183,062.64
  4. Step 4: Simplify right side
    542,926.80x = 149,064,857,928.42
  5. Step 5: Solve for x
    x = 149,064,857,928.42/542,926.80
  6. Step 6: Final answer
    x = 274,557.93

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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.