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Finding the Fourth Proportional to 461,682.87, 637,133.16 and 289,608.17

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Solution

The fourth proportional to 461,682.87, 637,133.16 and 289,608.17 is: 399,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,682.87 : 637,133.16 = 289,608.17 : x
  2. Step 2: Convert to fraction form
    461,682.87/637,133.16 = 289,608.17/x
  3. Step 3: Cross multiply
    461,682.87x = 637,133.16 × 289,608.17
  4. Step 4: Simplify right side
    461,682.87x = 184,518,965,328.25
  5. Step 5: Solve for x
    x = 184,518,965,328.25/461,682.87
  6. Step 6: Final answer
    x = 399,666.04

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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.