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Finding the Fourth Proportional to 390,795.78, 539,314.02 and 221,029.50

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Solution

The fourth proportional to 390,795.78, 539,314.02 and 221,029.50 is: 305,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,795.78 : 539,314.02 = 221,029.50 : x
  2. Step 2: Convert to fraction form
    390,795.78/539,314.02 = 221,029.50/x
  3. Step 3: Cross multiply
    390,795.78x = 539,314.02 × 221,029.50
  4. Step 4: Simplify right side
    390,795.78x = 119,204,308,183.59
  5. Step 5: Solve for x
    x = 119,204,308,183.59/390,795.78
  6. Step 6: Final answer
    x = 305,029.67

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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.