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Finding the Fourth Proportional to 467,939.42, 701,958.33 and 152,420.93

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Solution

The fourth proportional to 467,939.42, 701,958.33 and 152,420.93 is: 228,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,939.42 : 701,958.33 = 152,420.93 : x
  2. Step 2: Convert to fraction form
    467,939.42/701,958.33 = 152,420.93/x
  3. Step 3: Cross multiply
    467,939.42x = 701,958.33 × 152,420.93
  4. Step 4: Simplify right side
    467,939.42x = 106,993,137,970.06
  5. Step 5: Solve for x
    x = 106,993,137,970.06/467,939.42
  6. Step 6: Final answer
    x = 228,647.42

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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.