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Finding the Fourth Proportional to 589,311.70, 883,384.35 and 289,546.90

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Solution

The fourth proportional to 589,311.70, 883,384.35 and 289,546.90 is: 434,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,311.70 : 883,384.35 = 289,546.90 : x
  2. Step 2: Convert to fraction form
    589,311.70/883,384.35 = 289,546.90/x
  3. Step 3: Cross multiply
    589,311.70x = 883,384.35 × 289,546.90
  4. Step 4: Simplify right side
    589,311.70x = 255,781,200,051.02
  5. Step 5: Solve for x
    x = 255,781,200,051.02/589,311.70
  6. Step 6: Final answer
    x = 434,033.81

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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.