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Finding the Fourth Proportional to 281,299.50, 421,949.25 and 84,307.50

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Solution

The fourth proportional to 281,299.50, 421,949.25 and 84,307.50 is: 126,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,299.50 : 421,949.25 = 84,307.50 : x
  2. Step 2: Convert to fraction form
    281,299.50/421,949.25 = 84,307.50/x
  3. Step 3: Cross multiply
    281,299.50x = 421,949.25 × 84,307.50
  4. Step 4: Simplify right side
    281,299.50x = 35,573,486,394.38
  5. Step 5: Solve for x
    x = 35,573,486,394.38/281,299.50
  6. Step 6: Final answer
    x = 126,461.25

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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.