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Finding the Fourth Proportional to 297,000.02, 409,878.69 and 162,864.02

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Solution

The fourth proportional to 297,000.02, 409,878.69 and 162,864.02 is: 224,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,000.02 : 409,878.69 = 162,864.02 : x
  2. Step 2: Convert to fraction form
    297,000.02/409,878.69 = 162,864.02/x
  3. Step 3: Cross multiply
    297,000.02x = 409,878.69 × 162,864.02
  4. Step 4: Simplify right side
    297,000.02x = 66,754,491,165.73
  5. Step 5: Solve for x
    x = 66,754,491,165.73/297,000.02
  6. Step 6: Final answer
    x = 224,762.58

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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.