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Finding the Fourth Proportional to 471,515.36, 707,266.16 and 116,529.42

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Solution

The fourth proportional to 471,515.36, 707,266.16 and 116,529.42 is: 174,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,515.36 : 707,266.16 = 116,529.42 : x
  2. Step 2: Convert to fraction form
    471,515.36/707,266.16 = 116,529.42/x
  3. Step 3: Cross multiply
    471,515.36x = 707,266.16 × 116,529.42
  4. Step 4: Simplify right side
    471,515.36x = 82,417,314,827.78
  5. Step 5: Solve for x
    x = 82,417,314,827.78/471,515.36
  6. Step 6: Final answer
    x = 174,792.43

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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.