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Finding the Fourth Proportional to 313,401.60, 470,102.40 and 212,362.20

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Solution

The fourth proportional to 313,401.60, 470,102.40 and 212,362.20 is: 318,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,401.60 : 470,102.40 = 212,362.20 : x
  2. Step 2: Convert to fraction form
    313,401.60/470,102.40 = 212,362.20/x
  3. Step 3: Cross multiply
    313,401.60x = 470,102.40 × 212,362.20
  4. Step 4: Simplify right side
    313,401.60x = 99,831,979,889.28
  5. Step 5: Solve for x
    x = 99,831,979,889.28/313,401.60
  6. Step 6: Final answer
    x = 318,543.30

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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.