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Finding the Fourth Proportional to 357,154.91, 535,882.66 and 222,331.83

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Solution

The fourth proportional to 357,154.91, 535,882.66 and 222,331.83 is: 333,591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,154.91 : 535,882.66 = 222,331.83 : x
  2. Step 2: Convert to fraction form
    357,154.91/535,882.66 = 222,331.83/x
  3. Step 3: Cross multiply
    357,154.91x = 535,882.66 × 222,331.83
  4. Step 4: Simplify right side
    357,154.91x = 119,143,772,463.07
  5. Step 5: Solve for x
    x = 119,143,772,463.07/357,154.91
  6. Step 6: Final answer
    x = 333,591.30

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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.