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Finding the Fourth Proportional to 512,673.32, 707,524.74 and 297,880.76

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Solution

The fourth proportional to 512,673.32, 707,524.74 and 297,880.76 is: 411,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,673.32 : 707,524.74 = 297,880.76 : x
  2. Step 2: Convert to fraction form
    512,673.32/707,524.74 = 297,880.76/x
  3. Step 3: Cross multiply
    512,673.32x = 707,524.74 × 297,880.76
  4. Step 4: Simplify right side
    512,673.32x = 210,758,003,732.38
  5. Step 5: Solve for x
    x = 210,758,003,732.38/512,673.32
  6. Step 6: Final answer
    x = 411,096.11

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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.