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Finding the Fourth Proportional to 511,384.57, 766,953.83 and 156,401.66

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Solution

The fourth proportional to 511,384.57, 766,953.83 and 156,401.66 is: 234,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,384.57 : 766,953.83 = 156,401.66 : x
  2. Step 2: Convert to fraction form
    511,384.57/766,953.83 = 156,401.66/x
  3. Step 3: Cross multiply
    511,384.57x = 766,953.83 × 156,401.66
  4. Step 4: Simplify right side
    511,384.57x = 119,952,852,536.95
  5. Step 5: Solve for x
    x = 119,952,852,536.95/511,384.57
  6. Step 6: Final answer
    x = 234,564.87

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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.