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Finding the Fourth Proportional to 383,533.44, 575,097.40 and 170,208.64

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Solution

The fourth proportional to 383,533.44, 575,097.40 and 170,208.64 is: 255,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,533.44 : 575,097.40 = 170,208.64 : x
  2. Step 2: Convert to fraction form
    383,533.44/575,097.40 = 170,208.64/x
  3. Step 3: Cross multiply
    383,533.44x = 575,097.40 × 170,208.64
  4. Step 4: Simplify right side
    383,533.44x = 97,886,546,321.54
  5. Step 5: Solve for x
    x = 97,886,546,321.54/383,533.44
  6. Step 6: Final answer
    x = 255,222.98

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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.