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Finding the Fourth Proportional to 502,772.80, 754,159.20 and 222,145.60

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Solution

The fourth proportional to 502,772.80, 754,159.20 and 222,145.60 is: 333,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,772.80 : 754,159.20 = 222,145.60 : x
  2. Step 2: Convert to fraction form
    502,772.80/754,159.20 = 222,145.60/x
  3. Step 3: Cross multiply
    502,772.80x = 754,159.20 × 222,145.60
  4. Step 4: Simplify right side
    502,772.80x = 167,533,147,979.52
  5. Step 5: Solve for x
    x = 167,533,147,979.52/502,772.80
  6. Step 6: Final answer
    x = 333,218.40

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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.