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Finding the Fourth Proportional to 436,000.16, 654,219.12 and 199,321.76

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Solution

The fourth proportional to 436,000.16, 654,219.12 and 199,321.76 is: 299,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,000.16 : 654,219.12 = 199,321.76 : x
  2. Step 2: Convert to fraction form
    436,000.16/654,219.12 = 199,321.76/x
  3. Step 3: Cross multiply
    436,000.16x = 654,219.12 × 199,321.76
  4. Step 4: Simplify right side
    436,000.16x = 130,400,106,424.05
  5. Step 5: Solve for x
    x = 130,400,106,424.05/436,000.16
  6. Step 6: Final answer
    x = 299,082.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.