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Finding the Fourth Proportional to 596,311.76, 894,623.16 and 222,338

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Solution

The fourth proportional to 596,311.76, 894,623.16 and 222,338 is: 333,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,311.76 : 894,623.16 = 222,338 : x
  2. Step 2: Convert to fraction form
    596,311.76/894,623.16 = 222,338/x
  3. Step 3: Cross multiply
    596,311.76x = 894,623.16 × 222,338
  4. Step 4: Simplify right side
    596,311.76x = 198,908,724,148.08
  5. Step 5: Solve for x
    x = 198,908,724,148.08/596,311.76
  6. Step 6: Final answer
    x = 333,564.99

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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.