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Finding the Fourth Proportional to 467,649.80, 701,536.80 and 152,000.36

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Solution

The fourth proportional to 467,649.80, 701,536.80 and 152,000.36 is: 228,020.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,649.80 : 701,536.80 = 152,000.36 : x
  2. Step 2: Convert to fraction form
    467,649.80/701,536.80 = 152,000.36/x
  3. Step 3: Cross multiply
    467,649.80x = 701,536.80 × 152,000.36
  4. Step 4: Simplify right side
    467,649.80x = 106,633,846,153.25
  5. Step 5: Solve for x
    x = 106,633,846,153.25/467,649.80
  6. Step 6: Final answer
    x = 228,020.72

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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.