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Finding the Fourth Proportional to 542,814.80, 814,222.20 and 402,846.80

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Solution

The fourth proportional to 542,814.80, 814,222.20 and 402,846.80 is: 604,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,814.80 : 814,222.20 = 402,846.80 : x
  2. Step 2: Convert to fraction form
    542,814.80/814,222.20 = 402,846.80/x
  3. Step 3: Cross multiply
    542,814.80x = 814,222.20 × 402,846.80
  4. Step 4: Simplify right side
    542,814.80x = 328,006,807,758.96
  5. Step 5: Solve for x
    x = 328,006,807,758.96/542,814.80
  6. Step 6: Final answer
    x = 604,270.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.