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Finding the Fourth Proportional to 706,270.31, 974,807.81 and 464,576.73

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Solution

The fourth proportional to 706,270.31, 974,807.81 and 464,576.73 is: 641,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,270.31 : 974,807.81 = 464,576.73 : x
  2. Step 2: Convert to fraction form
    706,270.31/974,807.81 = 464,576.73/x
  3. Step 3: Cross multiply
    706,270.31x = 974,807.81 × 464,576.73
  4. Step 4: Simplify right side
    706,270.31x = 452,873,024,748.26
  5. Step 5: Solve for x
    x = 452,873,024,748.26/706,270.31
  6. Step 6: Final answer
    x = 641,217.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.