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Finding the Fourth Proportional to 633,576.54, 949,353.93 and 464,312.46

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Solution

The fourth proportional to 633,576.54, 949,353.93 and 464,312.46 is: 695,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,576.54 : 949,353.93 = 464,312.46 : x
  2. Step 2: Convert to fraction form
    633,576.54/949,353.93 = 464,312.46/x
  3. Step 3: Cross multiply
    633,576.54x = 949,353.93 × 464,312.46
  4. Step 4: Simplify right side
    633,576.54x = 440,796,858,648.97
  5. Step 5: Solve for x
    x = 440,796,858,648.97/633,576.54
  6. Step 6: Final answer
    x = 695,727.87

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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.