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Finding the Fourth Proportional to 357,153.74, 535,880.90 and 222,330.66

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Solution

The fourth proportional to 357,153.74, 535,880.90 and 222,330.66 is: 333,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,153.74 : 535,880.90 = 222,330.66 : x
  2. Step 2: Convert to fraction form
    357,153.74/535,880.90 = 222,330.66/x
  3. Step 3: Cross multiply
    357,153.74x = 535,880.90 × 222,330.66
  4. Step 4: Simplify right side
    357,153.74x = 119,142,752,412.02
  5. Step 5: Solve for x
    x = 119,142,752,412.02/357,153.74
  6. Step 6: Final answer
    x = 333,589.54

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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.