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Finding the Fourth Proportional to 347,114.40, 519,289.20 and 313,936.80

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Solution

The fourth proportional to 347,114.40, 519,289.20 and 313,936.80 is: 469,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,114.40 : 519,289.20 = 313,936.80 : x
  2. Step 2: Convert to fraction form
    347,114.40/519,289.20 = 313,936.80/x
  3. Step 3: Cross multiply
    347,114.40x = 519,289.20 × 313,936.80
  4. Step 4: Simplify right side
    347,114.40x = 163,023,989,722.56
  5. Step 5: Solve for x
    x = 163,023,989,722.56/347,114.40
  6. Step 6: Final answer
    x = 469,654.93

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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.