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Finding the Fourth Proportional to 297,576.24, 410,658.12 and 163,440.24

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Solution

The fourth proportional to 297,576.24, 410,658.12 and 163,440.24 is: 225,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,576.24 : 410,658.12 = 163,440.24 : x
  2. Step 2: Convert to fraction form
    297,576.24/410,658.12 = 163,440.24/x
  3. Step 3: Cross multiply
    297,576.24x = 410,658.12 × 163,440.24
  4. Step 4: Simplify right side
    297,576.24x = 67,118,061,690.75
  5. Step 5: Solve for x
    x = 67,118,061,690.75/297,576.24
  6. Step 6: Final answer
    x = 225,549.13

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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.