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Finding the Fourth Proportional to 470,894.70, 706,342.05 and 311,462.40

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Solution

The fourth proportional to 470,894.70, 706,342.05 and 311,462.40 is: 467,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,894.70 : 706,342.05 = 311,462.40 : x
  2. Step 2: Convert to fraction form
    470,894.70/706,342.05 = 311,462.40/x
  3. Step 3: Cross multiply
    470,894.70x = 706,342.05 × 311,462.40
  4. Step 4: Simplify right side
    470,894.70x = 219,998,990,113.92
  5. Step 5: Solve for x
    x = 219,998,990,113.92/470,894.70
  6. Step 6: Final answer
    x = 467,193.60

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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.