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Finding the Fourth Proportional to 299,453.40, 413,191.26 and 178,601.40

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Solution

The fourth proportional to 299,453.40, 413,191.26 and 178,601.40 is: 246,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,453.40 : 413,191.26 = 178,601.40 : x
  2. Step 2: Convert to fraction form
    299,453.40/413,191.26 = 178,601.40/x
  3. Step 3: Cross multiply
    299,453.40x = 413,191.26 × 178,601.40
  4. Step 4: Simplify right side
    299,453.40x = 73,796,537,503.76
  5. Step 5: Solve for x
    x = 73,796,537,503.76/299,453.40
  6. Step 6: Final answer
    x = 246,437.47

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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.