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Finding the Fourth Proportional to 383,230.56, 574,802.10 and 102,725.94

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Solution

The fourth proportional to 383,230.56, 574,802.10 and 102,725.94 is: 154,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,230.56 : 574,802.10 = 102,725.94 : x
  2. Step 2: Convert to fraction form
    383,230.56/574,802.10 = 102,725.94/x
  3. Step 3: Cross multiply
    383,230.56x = 574,802.10 × 102,725.94
  4. Step 4: Simplify right side
    383,230.56x = 59,047,086,036.47
  5. Step 5: Solve for x
    x = 59,047,086,036.47/383,230.56
  6. Step 6: Final answer
    x = 154,077.19

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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.