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Finding the Fourth Proportional to 274,374.23, 411,519.72 and 74,710.32

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Solution

The fourth proportional to 274,374.23, 411,519.72 and 74,710.32 is: 112,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,374.23 : 411,519.72 = 74,710.32 : x
  2. Step 2: Convert to fraction form
    274,374.23/411,519.72 = 74,710.32/x
  3. Step 3: Cross multiply
    274,374.23x = 411,519.72 × 74,710.32
  4. Step 4: Simplify right side
    274,374.23x = 30,744,769,967.51
  5. Step 5: Solve for x
    x = 30,744,769,967.51/274,374.23
  6. Step 6: Final answer
    x = 112,054.15

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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.