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Finding the Fourth Proportional to 465,533.70, 697,331.73 and 449,473.83

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Solution

The fourth proportional to 465,533.70, 697,331.73 and 449,473.83 is: 673,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,533.70 : 697,331.73 = 449,473.83 : x
  2. Step 2: Convert to fraction form
    465,533.70/697,331.73 = 449,473.83/x
  3. Step 3: Cross multiply
    465,533.70x = 697,331.73 × 449,473.83
  4. Step 4: Simplify right side
    465,533.70x = 313,432,363,463.63
  5. Step 5: Solve for x
    x = 313,432,363,463.63/465,533.70
  6. Step 6: Final answer
    x = 673,275.35

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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.