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Finding the Fourth Proportional to 603,205.70, 832,747.04 and 465,082.95

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Solution

The fourth proportional to 603,205.70, 832,747.04 and 465,082.95 is: 642,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,205.70 : 832,747.04 = 465,082.95 : x
  2. Step 2: Convert to fraction form
    603,205.70/832,747.04 = 465,082.95/x
  3. Step 3: Cross multiply
    603,205.70x = 832,747.04 × 465,082.95
  4. Step 4: Simplify right side
    603,205.70x = 387,296,447,641.55
  5. Step 5: Solve for x
    x = 387,296,447,641.55/603,205.70
  6. Step 6: Final answer
    x = 642,063.65

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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.