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Finding the Fourth Proportional to 293,563.84, 440,279.52 and 135,706

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Solution

The fourth proportional to 293,563.84, 440,279.52 and 135,706 is: 203,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,563.84 : 440,279.52 = 135,706 : x
  2. Step 2: Convert to fraction form
    293,563.84/440,279.52 = 135,706/x
  3. Step 3: Cross multiply
    293,563.84x = 440,279.52 × 135,706
  4. Step 4: Simplify right side
    293,563.84x = 59,748,572,541.12
  5. Step 5: Solve for x
    x = 59,748,572,541.12/293,563.84
  6. Step 6: Final answer
    x = 203,528.38

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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.