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Finding the Fourth Proportional to 285,600.74, 428,658.08 and 152,594.69

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Solution

The fourth proportional to 285,600.74, 428,658.08 and 152,594.69 is: 229,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,600.74 : 428,658.08 = 152,594.69 : x
  2. Step 2: Convert to fraction form
    285,600.74/428,658.08 = 152,594.69/x
  3. Step 3: Cross multiply
    285,600.74x = 428,658.08 × 152,594.69
  4. Step 4: Simplify right side
    285,600.74x = 65,410,943,927.33
  5. Step 5: Solve for x
    x = 65,410,943,927.33/285,600.74
  6. Step 6: Final answer
    x = 229,029.33

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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.