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Finding the Fourth Proportional to 297,256.84, 410,213.34 and 176,497.38

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Solution

The fourth proportional to 297,256.84, 410,213.34 and 176,497.38 is: 243,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,256.84 : 410,213.34 = 176,497.38 : x
  2. Step 2: Convert to fraction form
    297,256.84/410,213.34 = 176,497.38/x
  3. Step 3: Cross multiply
    297,256.84x = 410,213.34 × 176,497.38
  4. Step 4: Simplify right side
    297,256.84x = 72,401,579,751.05
  5. Step 5: Solve for x
    x = 72,401,579,751.05/297,256.84
  6. Step 6: Final answer
    x = 243,565.73

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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.