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Finding the Fourth Proportional to 383,882.40, 575,823.60 and 197,258.40

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Solution

The fourth proportional to 383,882.40, 575,823.60 and 197,258.40 is: 295,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,882.40 : 575,823.60 = 197,258.40 : x
  2. Step 2: Convert to fraction form
    383,882.40/575,823.60 = 197,258.40/x
  3. Step 3: Cross multiply
    383,882.40x = 575,823.60 × 197,258.40
  4. Step 4: Simplify right side
    383,882.40x = 113,586,042,018.24
  5. Step 5: Solve for x
    x = 113,586,042,018.24/383,882.40
  6. Step 6: Final answer
    x = 295,887.60

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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.