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Finding the Fourth Proportional to 503,820.46, 695,272.98 and 274,378.24

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Solution

The fourth proportional to 503,820.46, 695,272.98 and 274,378.24 is: 378,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,820.46 : 695,272.98 = 274,378.24 : x
  2. Step 2: Convert to fraction form
    503,820.46/695,272.98 = 274,378.24/x
  3. Step 3: Cross multiply
    503,820.46x = 695,272.98 × 274,378.24
  4. Step 4: Simplify right side
    503,820.46x = 190,767,776,571.96
  5. Step 5: Solve for x
    x = 190,767,776,571.96/503,820.46
  6. Step 6: Final answer
    x = 378,642.38

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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.