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Finding the Fourth Proportional to 383,975.94, 575,898.26 and 103,427.58

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Solution

The fourth proportional to 383,975.94, 575,898.26 and 103,427.58 is: 155,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,975.94 : 575,898.26 = 103,427.58 : x
  2. Step 2: Convert to fraction form
    383,975.94/575,898.26 = 103,427.58/x
  3. Step 3: Cross multiply
    383,975.94x = 575,898.26 × 103,427.58
  4. Step 4: Simplify right side
    383,975.94x = 59,563,763,358.01
  5. Step 5: Solve for x
    x = 59,563,763,358.01/383,975.94
  6. Step 6: Final answer
    x = 155,123.69

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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.