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Finding the Fourth Proportional to 338,857.46, 508,289.83 and 102,202.19

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Solution

The fourth proportional to 338,857.46, 508,289.83 and 102,202.19 is: 153,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,857.46 : 508,289.83 = 102,202.19 : x
  2. Step 2: Convert to fraction form
    338,857.46/508,289.83 = 102,202.19/x
  3. Step 3: Cross multiply
    338,857.46x = 508,289.83 × 102,202.19
  4. Step 4: Simplify right side
    338,857.46x = 51,948,333,780.73
  5. Step 5: Solve for x
    x = 51,948,333,780.73/338,857.46
  6. Step 6: Final answer
    x = 153,304.38

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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.