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Finding the Fourth Proportional to 517,232.54, 713,769.71 and 299,450.40

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Solution

The fourth proportional to 517,232.54, 713,769.71 and 299,450.40 is: 413,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,232.54 : 713,769.71 = 299,450.40 : x
  2. Step 2: Convert to fraction form
    517,232.54/713,769.71 = 299,450.40/x
  3. Step 3: Cross multiply
    517,232.54x = 713,769.71 × 299,450.40
  4. Step 4: Simplify right side
    517,232.54x = 213,738,620,993.50
  5. Step 5: Solve for x
    x = 213,738,620,993.50/517,232.54
  6. Step 6: Final answer
    x = 413,235.06

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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.