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Finding the Fourth Proportional to 520,200.67, 780,300.99 and 146,223.67

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Solution

The fourth proportional to 520,200.67, 780,300.99 and 146,223.67 is: 219,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,200.67 : 780,300.99 = 146,223.67 : x
  2. Step 2: Convert to fraction form
    520,200.67/780,300.99 = 146,223.67/x
  3. Step 3: Cross multiply
    520,200.67x = 780,300.99 × 146,223.67
  4. Step 4: Simplify right side
    520,200.67x = 114,098,474,462.43
  5. Step 5: Solve for x
    x = 114,098,474,462.43/520,200.67
  6. Step 6: Final answer
    x = 219,335.50

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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.