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Finding the Fourth Proportional to 413,711.60, 620,520.93 and 114,234.76

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Solution

The fourth proportional to 413,711.60, 620,520.93 and 114,234.76 is: 171,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,711.60 : 620,520.93 = 114,234.76 : x
  2. Step 2: Convert to fraction form
    413,711.60/620,520.93 = 114,234.76/x
  3. Step 3: Cross multiply
    413,711.60x = 620,520.93 × 114,234.76
  4. Step 4: Simplify right side
    413,711.60x = 70,885,056,477.46
  5. Step 5: Solve for x
    x = 70,885,056,477.46/413,711.60
  6. Step 6: Final answer
    x = 171,339.30

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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.