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Finding the Fourth Proportional to 361,404.60, 542,625.30 and 282,607.80

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Solution

The fourth proportional to 361,404.60, 542,625.30 and 282,607.80 is: 424,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,404.60 : 542,625.30 = 282,607.80 : x
  2. Step 2: Convert to fraction form
    361,404.60/542,625.30 = 282,607.80/x
  3. Step 3: Cross multiply
    361,404.60x = 542,625.30 × 282,607.80
  4. Step 4: Simplify right side
    361,404.60x = 153,350,142,257.34
  5. Step 5: Solve for x
    x = 153,350,142,257.34/361,404.60
  6. Step 6: Final answer
    x = 424,317.07

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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.