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Finding the Fourth Proportional to 551,231.74, 760,878.14 and 357,297.24

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Solution

The fourth proportional to 551,231.74, 760,878.14 and 357,297.24 is: 493,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,231.74 : 760,878.14 = 357,297.24 : x
  2. Step 2: Convert to fraction form
    551,231.74/760,878.14 = 357,297.24/x
  3. Step 3: Cross multiply
    551,231.74x = 760,878.14 × 357,297.24
  4. Step 4: Simplify right side
    551,231.74x = 271,859,657,611.85
  5. Step 5: Solve for x
    x = 271,859,657,611.85/551,231.74
  6. Step 6: Final answer
    x = 493,185.78

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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.