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Finding the Fourth Proportional to 596,459.52, 894,412.80 and 222,382.08

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Solution

The fourth proportional to 596,459.52, 894,412.80 and 222,382.08 is: 333,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,459.52 : 894,412.80 = 222,382.08 : x
  2. Step 2: Convert to fraction form
    596,459.52/894,412.80 = 222,382.08/x
  3. Step 3: Cross multiply
    596,459.52x = 894,412.80 × 222,382.08
  4. Step 4: Simplify right side
    596,459.52x = 198,901,378,842.62
  5. Step 5: Solve for x
    x = 198,901,378,842.62/596,459.52
  6. Step 6: Final answer
    x = 333,470.04

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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.