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Finding the Fourth Proportional to 542,883.80, 814,325.70 and 402,915.80

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Solution

The fourth proportional to 542,883.80, 814,325.70 and 402,915.80 is: 604,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,883.80 : 814,325.70 = 402,915.80 : x
  2. Step 2: Convert to fraction form
    542,883.80/814,325.70 = 402,915.80/x
  3. Step 3: Cross multiply
    542,883.80x = 814,325.70 × 402,915.80
  4. Step 4: Simplify right side
    542,883.80x = 328,104,690,876.06
  5. Step 5: Solve for x
    x = 328,104,690,876.06/542,883.80
  6. Step 6: Final answer
    x = 604,373.70

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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.