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Finding the Fourth Proportional to 521,784.28, 782,356.54 and 222,094.20

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Solution

The fourth proportional to 521,784.28, 782,356.54 and 222,094.20 is: 333,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,784.28 : 782,356.54 = 222,094.20 : x
  2. Step 2: Convert to fraction form
    521,784.28/782,356.54 = 222,094.20/x
  3. Step 3: Cross multiply
    521,784.28x = 782,356.54 × 222,094.20
  4. Step 4: Simplify right side
    521,784.28x = 173,756,849,866.07
  5. Step 5: Solve for x
    x = 173,756,849,866.07/521,784.28
  6. Step 6: Final answer
    x = 333,005.15

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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.