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Finding the Fourth Proportional to 520,074.70, 780,112.05 and 146,097.70

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Solution

The fourth proportional to 520,074.70, 780,112.05 and 146,097.70 is: 219,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,074.70 : 780,112.05 = 146,097.70 : x
  2. Step 2: Convert to fraction form
    520,074.70/780,112.05 = 146,097.70/x
  3. Step 3: Cross multiply
    520,074.70x = 780,112.05 × 146,097.70
  4. Step 4: Simplify right side
    520,074.70x = 113,972,576,247.29
  5. Step 5: Solve for x
    x = 113,972,576,247.29/520,074.70
  6. Step 6: Final answer
    x = 219,146.55

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1.5x scale

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.