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Finding the Fourth Proportional to 520,308.70, 780,463.14 and 146,331.70

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Solution

The fourth proportional to 520,308.70, 780,463.14 and 146,331.70 is: 219,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,308.70 : 780,463.14 = 146,331.70 : x
  2. Step 2: Convert to fraction form
    520,308.70/780,463.14 = 146,331.70/x
  3. Step 3: Cross multiply
    520,308.70x = 780,463.14 × 146,331.70
  4. Step 4: Simplify right side
    520,308.70x = 114,206,498,063.54
  5. Step 5: Solve for x
    x = 114,206,498,063.54/520,308.70
  6. Step 6: Final answer
    x = 219,497.58

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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.