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Finding the Fourth Proportional to 474,741.81, 711,620.64 and 296,840.30

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Solution

The fourth proportional to 474,741.81, 711,620.64 and 296,840.30 is: 444,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,741.81 : 711,620.64 = 296,840.30 : x
  2. Step 2: Convert to fraction form
    474,741.81/711,620.64 = 296,840.30/x
  3. Step 3: Cross multiply
    474,741.81x = 711,620.64 × 296,840.30
  4. Step 4: Simplify right side
    474,741.81x = 211,237,680,705.69
  5. Step 5: Solve for x
    x = 211,237,680,705.69/474,741.81
  6. Step 6: Final answer
    x = 444,952.76

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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.