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Finding the Fourth Proportional to 665,082.70, 997,624.05 and 465,628.30

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Solution

The fourth proportional to 665,082.70, 997,624.05 and 465,628.30 is: 698,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,082.70 : 997,624.05 = 465,628.30 : x
  2. Step 2: Convert to fraction form
    665,082.70/997,624.05 = 465,628.30/x
  3. Step 3: Cross multiply
    665,082.70x = 997,624.05 × 465,628.30
  4. Step 4: Simplify right side
    665,082.70x = 464,521,990,440.62
  5. Step 5: Solve for x
    x = 464,521,990,440.62/665,082.70
  6. Step 6: Final answer
    x = 698,442.45

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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.