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Finding the Fourth Proportional to 382,896.81, 574,430.87 and 116,678.16

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Solution

The fourth proportional to 382,896.81, 574,430.87 and 116,678.16 is: 175,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,896.81 : 574,430.87 = 116,678.16 : x
  2. Step 2: Convert to fraction form
    382,896.81/574,430.87 = 116,678.16/x
  3. Step 3: Cross multiply
    382,896.81x = 574,430.87 × 116,678.16
  4. Step 4: Simplify right side
    382,896.81x = 67,023,536,375.41
  5. Step 5: Solve for x
    x = 67,023,536,375.41/382,896.81
  6. Step 6: Final answer
    x = 175,043.34

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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.