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Finding the Fourth Proportional to 502,996.98, 754,615.32 and 148,022.58

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Solution

The fourth proportional to 502,996.98, 754,615.32 and 148,022.58 is: 222,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,996.98 : 754,615.32 = 148,022.58 : x
  2. Step 2: Convert to fraction form
    502,996.98/754,615.32 = 148,022.58/x
  3. Step 3: Cross multiply
    502,996.98x = 754,615.32 × 148,022.58
  4. Step 4: Simplify right side
    502,996.98x = 111,700,106,573.93
  5. Step 5: Solve for x
    x = 111,700,106,573.93/502,996.98
  6. Step 6: Final answer
    x = 222,069.14

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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.