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Finding the Fourth Proportional to 342,357.60, 512,564.40 and 323,738.40

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Solution

The fourth proportional to 342,357.60, 512,564.40 and 323,738.40 is: 484,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,357.60 : 512,564.40 = 323,738.40 : x
  2. Step 2: Convert to fraction form
    342,357.60/512,564.40 = 323,738.40/x
  3. Step 3: Cross multiply
    342,357.60x = 512,564.40 × 323,738.40
  4. Step 4: Simplify right side
    342,357.60x = 165,936,778,752.96
  5. Step 5: Solve for x
    x = 165,936,778,752.96/342,357.60
  6. Step 6: Final answer
    x = 484,688.46

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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.