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Finding the Fourth Proportional to 422,637.14, 633,995.04 and 152,832.90

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Solution

The fourth proportional to 422,637.14, 633,995.04 and 152,832.90 is: 229,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,637.14 : 633,995.04 = 152,832.90 : x
  2. Step 2: Convert to fraction form
    422,637.14/633,995.04 = 152,832.90/x
  3. Step 3: Cross multiply
    422,637.14x = 633,995.04 × 152,832.90
  4. Step 4: Simplify right side
    422,637.14x = 96,895,300,548.82
  5. Step 5: Solve for x
    x = 96,895,300,548.82/422,637.14
  6. Step 6: Final answer
    x = 229,263.57

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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.