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Finding the Fourth Proportional to 357,103.95, 535,806.17 and 222,280.77

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Solution

The fourth proportional to 357,103.95, 535,806.17 and 222,280.77 is: 333,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,103.95 : 535,806.17 = 222,280.77 : x
  2. Step 2: Convert to fraction form
    357,103.95/535,806.17 = 222,280.77/x
  3. Step 3: Cross multiply
    357,103.95x = 535,806.17 × 222,280.77
  4. Step 4: Simplify right side
    357,103.95x = 119,099,408,038.35
  5. Step 5: Solve for x
    x = 119,099,408,038.35/357,103.95
  6. Step 6: Final answer
    x = 333,514.68

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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.