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Finding the Fourth Proportional to 665,083.20, 997,624.80 and 465,628.80

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Solution

The fourth proportional to 665,083.20, 997,624.80 and 465,628.80 is: 698,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,083.20 : 997,624.80 = 465,628.80 : x
  2. Step 2: Convert to fraction form
    665,083.20/997,624.80 = 465,628.80/x
  3. Step 3: Cross multiply
    665,083.20x = 997,624.80 × 465,628.80
  4. Step 4: Simplify right side
    665,083.20x = 464,522,838,474.24
  5. Step 5: Solve for x
    x = 464,522,838,474.24/665,083.20
  6. Step 6: Final answer
    x = 698,443.20

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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.