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Finding the Fourth Proportional to 542,360.40, 813,670.20 and 261,646.80

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Solution

The fourth proportional to 542,360.40, 813,670.20 and 261,646.80 is: 392,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,360.40 : 813,670.20 = 261,646.80 : x
  2. Step 2: Convert to fraction form
    542,360.40/813,670.20 = 261,646.80/x
  3. Step 3: Cross multiply
    542,360.40x = 813,670.20 × 261,646.80
  4. Step 4: Simplify right side
    542,360.40x = 212,894,204,085.36
  5. Step 5: Solve for x
    x = 212,894,204,085.36/542,360.40
  6. Step 6: Final answer
    x = 392,532.72

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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.