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Finding the Fourth Proportional to 512,345.38, 707,033.90 and 297,538.24

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Solution

The fourth proportional to 512,345.38, 707,033.90 and 297,538.24 is: 410,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,345.38 : 707,033.90 = 297,538.24 : x
  2. Step 2: Convert to fraction form
    512,345.38/707,033.90 = 297,538.24/x
  3. Step 3: Cross multiply
    512,345.38x = 707,033.90 × 297,538.24
  4. Step 4: Simplify right side
    512,345.38x = 210,369,622,226.34
  5. Step 5: Solve for x
    x = 210,369,622,226.34/512,345.38
  6. Step 6: Final answer
    x = 410,601.19

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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.