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Finding the Fourth Proportional to 511,224.24, 705,492.25 and 296,491.62

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Solution

The fourth proportional to 511,224.24, 705,492.25 and 296,491.62 is: 409,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,224.24 : 705,492.25 = 296,491.62 : x
  2. Step 2: Convert to fraction form
    511,224.24/705,492.25 = 296,491.62/x
  3. Step 3: Cross multiply
    511,224.24x = 705,492.25 × 296,491.62
  4. Step 4: Simplify right side
    511,224.24x = 209,172,540,099.95
  5. Step 5: Solve for x
    x = 209,172,540,099.95/511,224.24
  6. Step 6: Final answer
    x = 409,160.06

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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.