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Finding the Fourth Proportional to 383,077.16, 574,689.72 and 130,347.44

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Solution

The fourth proportional to 383,077.16, 574,689.72 and 130,347.44 is: 195,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,077.16 : 574,689.72 = 130,347.44 : x
  2. Step 2: Convert to fraction form
    383,077.16/574,689.72 = 130,347.44/x
  3. Step 3: Cross multiply
    383,077.16x = 574,689.72 × 130,347.44
  4. Step 4: Simplify right side
    383,077.16x = 74,909,333,796.32
  5. Step 5: Solve for x
    x = 74,909,333,796.32/383,077.16
  6. Step 6: Final answer
    x = 195,546.33

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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.