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Finding the Fourth Proportional to 382,938.81, 574,429.81 and 116,708.01

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Solution

The fourth proportional to 382,938.81, 574,429.81 and 116,708.01 is: 175,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,938.81 : 574,429.81 = 116,708.01 : x
  2. Step 2: Convert to fraction form
    382,938.81/574,429.81 = 116,708.01/x
  3. Step 3: Cross multiply
    382,938.81x = 574,429.81 × 116,708.01
  4. Step 4: Simplify right side
    382,938.81x = 67,040,557,782.72
  5. Step 5: Solve for x
    x = 67,040,557,782.72/382,938.81
  6. Step 6: Final answer
    x = 175,068.59

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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.