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Finding the Fourth Proportional to 463,640.06, 695,460.10 and 253,163.18

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Solution

The fourth proportional to 463,640.06, 695,460.10 and 253,163.18 is: 379,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,640.06 : 695,460.10 = 253,163.18 : x
  2. Step 2: Convert to fraction form
    463,640.06/695,460.10 = 253,163.18/x
  3. Step 3: Cross multiply
    463,640.06x = 695,460.10 × 253,163.18
  4. Step 4: Simplify right side
    463,640.06x = 176,064,890,479.12
  5. Step 5: Solve for x
    x = 176,064,890,479.12/463,640.06
  6. Step 6: Final answer
    x = 379,744.78

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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.