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Finding the Fourth Proportional to 360,031.23, 496,824.74 and 198,855.10

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Solution

The fourth proportional to 360,031.23, 496,824.74 and 198,855.10 is: 274,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,031.23 : 496,824.74 = 198,855.10 : x
  2. Step 2: Convert to fraction form
    360,031.23/496,824.74 = 198,855.10/x
  3. Step 3: Cross multiply
    360,031.23x = 496,824.74 × 198,855.10
  4. Step 4: Simplify right side
    360,031.23x = 98,796,133,727.64
  5. Step 5: Solve for x
    x = 98,796,133,727.64/360,031.23
  6. Step 6: Final answer
    x = 274,409.90

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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.