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Finding the Fourth Proportional to 472,586.46, 708,918.09 and 140,161.50

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Solution

The fourth proportional to 472,586.46, 708,918.09 and 140,161.50 is: 210,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,586.46 : 708,918.09 = 140,161.50 : x
  2. Step 2: Convert to fraction form
    472,586.46/708,918.09 = 140,161.50/x
  3. Step 3: Cross multiply
    472,586.46x = 708,918.09 × 140,161.50
  4. Step 4: Simplify right side
    472,586.46x = 99,363,022,871.54
  5. Step 5: Solve for x
    x = 99,363,022,871.54/472,586.46
  6. Step 6: Final answer
    x = 210,253.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.