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Finding the Fourth Proportional to 313,503.90, 470,255.85 and 233,670.30

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Solution

The fourth proportional to 313,503.90, 470,255.85 and 233,670.30 is: 350,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,503.90 : 470,255.85 = 233,670.30 : x
  2. Step 2: Convert to fraction form
    313,503.90/470,255.85 = 233,670.30/x
  3. Step 3: Cross multiply
    313,503.90x = 470,255.85 × 233,670.30
  4. Step 4: Simplify right side
    313,503.90x = 109,884,825,546.26
  5. Step 5: Solve for x
    x = 109,884,825,546.26/313,503.90
  6. Step 6: Final answer
    x = 350,505.45

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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.