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Finding the Fourth Proportional to 410,835.80, 616,311.30 and 161,459.80

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Solution

The fourth proportional to 410,835.80, 616,311.30 and 161,459.80 is: 242,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,835.80 : 616,311.30 = 161,459.80 : x
  2. Step 2: Convert to fraction form
    410,835.80/616,311.30 = 161,459.80/x
  3. Step 3: Cross multiply
    410,835.80x = 616,311.30 × 161,459.80
  4. Step 4: Simplify right side
    410,835.80x = 99,509,499,235.74
  5. Step 5: Solve for x
    x = 99,509,499,235.74/410,835.80
  6. Step 6: Final answer
    x = 242,212.34

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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.