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Finding the Fourth Proportional to 432,578.27, 596,915.98 and 296,728.67

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Solution

The fourth proportional to 432,578.27, 596,915.98 and 296,728.67 is: 409,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,578.27 : 596,915.98 = 296,728.67 : x
  2. Step 2: Convert to fraction form
    432,578.27/596,915.98 = 296,728.67/x
  3. Step 3: Cross multiply
    432,578.27x = 596,915.98 × 296,728.67
  4. Step 4: Simplify right side
    432,578.27x = 177,122,081,120.75
  5. Step 5: Solve for x
    x = 177,122,081,120.75/432,578.27
  6. Step 6: Final answer
    x = 409,456.73

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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.