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Finding the Fourth Proportional to 474,671.56, 711,221.10 and 333,741.64

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Solution

The fourth proportional to 474,671.56, 711,221.10 and 333,741.64 is: 500,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,671.56 : 711,221.10 = 333,741.64 : x
  2. Step 2: Convert to fraction form
    474,671.56/711,221.10 = 333,741.64/x
  3. Step 3: Cross multiply
    474,671.56x = 711,221.10 × 333,741.64
  4. Step 4: Simplify right side
    474,671.56x = 237,364,096,316.60
  5. Step 5: Solve for x
    x = 237,364,096,316.60/474,671.56
  6. Step 6: Final answer
    x = 500,059.65

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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.