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Finding the Fourth Proportional to 209,270.40, 313,905.60 and 104,294.40

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Solution

The fourth proportional to 209,270.40, 313,905.60 and 104,294.40 is: 156,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,270.40 : 313,905.60 = 104,294.40 : x
  2. Step 2: Convert to fraction form
    209,270.40/313,905.60 = 104,294.40/x
  3. Step 3: Cross multiply
    209,270.40x = 313,905.60 × 104,294.40
  4. Step 4: Simplify right side
    209,270.40x = 32,738,596,208.64
  5. Step 5: Solve for x
    x = 32,738,596,208.64/209,270.40
  6. Step 6: Final answer
    x = 156,441.60

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1.5x scale

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.