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Finding the Fourth Proportional to 334,548, 501,994.08 and 222,305.76

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Solution

The fourth proportional to 334,548, 501,994.08 and 222,305.76 is: 333,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,548 : 501,994.08 = 222,305.76 : x
  2. Step 2: Convert to fraction form
    334,548/501,994.08 = 222,305.76/x
  3. Step 3: Cross multiply
    334,548x = 501,994.08 × 222,305.76
  4. Step 4: Simplify right side
    334,548x = 111,596,175,469.90
  5. Step 5: Solve for x
    x = 111,596,175,469.90/334,548
  6. Step 6: Final answer
    x = 333,572.99

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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.