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Finding the Fourth Proportional to 512,000.28, 706,559.22 and 297,266.04

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Solution

The fourth proportional to 512,000.28, 706,559.22 and 297,266.04 is: 410,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,000.28 : 706,559.22 = 297,266.04 : x
  2. Step 2: Convert to fraction form
    512,000.28/706,559.22 = 297,266.04/x
  3. Step 3: Cross multiply
    512,000.28x = 706,559.22 × 297,266.04
  4. Step 4: Simplify right side
    512,000.28x = 210,036,061,354.89
  5. Step 5: Solve for x
    x = 210,036,061,354.89/512,000.28
  6. Step 6: Final answer
    x = 410,226.46

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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.