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Finding the Fourth Proportional to 470,404.22, 649,163.35 and 255,547.67

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Solution

The fourth proportional to 470,404.22, 649,163.35 and 255,547.67 is: 352,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,404.22 : 649,163.35 = 255,547.67 : x
  2. Step 2: Convert to fraction form
    470,404.22/649,163.35 = 255,547.67/x
  3. Step 3: Cross multiply
    470,404.22x = 649,163.35 × 255,547.67
  4. Step 4: Simplify right side
    470,404.22x = 165,892,183,803.67
  5. Step 5: Solve for x
    x = 165,892,183,803.67/470,404.22
  6. Step 6: Final answer
    x = 352,658.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.