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Finding the Fourth Proportional to 385,624.80, 578,658.51 and 301,147.80

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Solution

The fourth proportional to 385,624.80, 578,658.51 and 301,147.80 is: 451,894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,624.80 : 578,658.51 = 301,147.80 : x
  2. Step 2: Convert to fraction form
    385,624.80/578,658.51 = 301,147.80/x
  3. Step 3: Cross multiply
    385,624.80x = 578,658.51 × 301,147.80
  4. Step 4: Simplify right side
    385,624.80x = 174,261,737,237.78
  5. Step 5: Solve for x
    x = 174,261,737,237.78/385,624.80
  6. Step 6: Final answer
    x = 451,894.53

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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.