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Finding the Fourth Proportional to 301,147.76, 416,072.05 and 256,299.68

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Solution

The fourth proportional to 301,147.76, 416,072.05 and 256,299.68 is: 354,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,147.76 : 416,072.05 = 256,299.68 : x
  2. Step 2: Convert to fraction form
    301,147.76/416,072.05 = 256,299.68/x
  3. Step 3: Cross multiply
    301,147.76x = 416,072.05 × 256,299.68
  4. Step 4: Simplify right side
    301,147.76x = 106,639,131,990.45
  5. Step 5: Solve for x
    x = 106,639,131,990.45/301,147.76
  6. Step 6: Final answer
    x = 354,109.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.