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Finding the Fourth Proportional to 469,200.42, 703,800.18 and 188,652.06

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Solution

The fourth proportional to 469,200.42, 703,800.18 and 188,652.06 is: 282,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,200.42 : 703,800.18 = 188,652.06 : x
  2. Step 2: Convert to fraction form
    469,200.42/703,800.18 = 188,652.06/x
  3. Step 3: Cross multiply
    469,200.42x = 703,800.18 × 188,652.06
  4. Step 4: Simplify right side
    469,200.42x = 132,773,353,785.37
  5. Step 5: Solve for x
    x = 132,773,353,785.37/469,200.42
  6. Step 6: Final answer
    x = 282,977.91

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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.