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Finding the Fourth Proportional to 471,896.20, 707,811.90 and 152,043.40

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Solution

The fourth proportional to 471,896.20, 707,811.90 and 152,043.40 is: 228,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,896.20 : 707,811.90 = 152,043.40 : x
  2. Step 2: Convert to fraction form
    471,896.20/707,811.90 = 152,043.40/x
  3. Step 3: Cross multiply
    471,896.20x = 707,811.90 × 152,043.40
  4. Step 4: Simplify right side
    471,896.20x = 107,618,127,836.46
  5. Step 5: Solve for x
    x = 107,618,127,836.46/471,896.20
  6. Step 6: Final answer
    x = 228,054.66

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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.