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Finding the Fourth Proportional to 383,905.40, 575,858.10 and 197,281.40

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Solution

The fourth proportional to 383,905.40, 575,858.10 and 197,281.40 is: 295,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,905.40 : 575,858.10 = 197,281.40 : x
  2. Step 2: Convert to fraction form
    383,905.40/575,858.10 = 197,281.40/x
  3. Step 3: Cross multiply
    383,905.40x = 575,858.10 × 197,281.40
  4. Step 4: Simplify right side
    383,905.40x = 113,606,092,169.34
  5. Step 5: Solve for x
    x = 113,606,092,169.34/383,905.40
  6. Step 6: Final answer
    x = 295,922.10

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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.