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Finding the Fourth Proportional to 512,574.11, 707,232.57 and 297,584.72

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Solution

The fourth proportional to 512,574.11, 707,232.57 and 297,584.72 is: 410,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,574.11 : 707,232.57 = 297,584.72 : x
  2. Step 2: Convert to fraction form
    512,574.11/707,232.57 = 297,584.72/x
  3. Step 3: Cross multiply
    512,574.11x = 707,232.57 × 297,584.72
  4. Step 4: Simplify right side
    512,574.11x = 210,461,606,318.33
  5. Step 5: Solve for x
    x = 210,461,606,318.33/512,574.11
  6. Step 6: Final answer
    x = 410,597.42

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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.