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Finding the Fourth Proportional to 298,107.54, 411,388.11 and 170,783.64

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Solution

The fourth proportional to 298,107.54, 411,388.11 and 170,783.64 is: 235,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,107.54 : 411,388.11 = 170,783.64 : x
  2. Step 2: Convert to fraction form
    298,107.54/411,388.11 = 170,783.64/x
  3. Step 3: Cross multiply
    298,107.54x = 411,388.11 × 170,783.64
  4. Step 4: Simplify right side
    298,107.54x = 70,258,358,878.52
  5. Step 5: Solve for x
    x = 70,258,358,878.52/298,107.54
  6. Step 6: Final answer
    x = 235,681.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.