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Finding the Fourth Proportional to 512,330.38, 707,013.21 and 297,523.24

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Solution

The fourth proportional to 512,330.38, 707,013.21 and 297,523.24 is: 410,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,330.38 : 707,013.21 = 297,523.24 : x
  2. Step 2: Convert to fraction form
    512,330.38/707,013.21 = 297,523.24/x
  3. Step 3: Cross multiply
    512,330.38x = 707,013.21 × 297,523.24
  4. Step 4: Simplify right side
    512,330.38x = 210,352,860,962.00
  5. Step 5: Solve for x
    x = 210,352,860,962.00/512,330.38
  6. Step 6: Final answer
    x = 410,580.49

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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.