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Finding the Fourth Proportional to 356,132.88, 533,830.32 and 222,706.80

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Solution

The fourth proportional to 356,132.88, 533,830.32 and 222,706.80 is: 333,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,132.88 : 533,830.32 = 222,706.80 : x
  2. Step 2: Convert to fraction form
    356,132.88/533,830.32 = 222,706.80/x
  3. Step 3: Cross multiply
    356,132.88x = 533,830.32 × 222,706.80
  4. Step 4: Simplify right side
    356,132.88x = 118,887,642,310.18
  5. Step 5: Solve for x
    x = 118,887,642,310.18/356,132.88
  6. Step 6: Final answer
    x = 333,829.45

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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.