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Finding the Fourth Proportional to 357,195.74, 492,929.46 and 204,236.80

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Solution

The fourth proportional to 357,195.74, 492,929.46 and 204,236.80 is: 281,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,195.74 : 492,929.46 = 204,236.80 : x
  2. Step 2: Convert to fraction form
    357,195.74/492,929.46 = 204,236.80/x
  3. Step 3: Cross multiply
    357,195.74x = 492,929.46 × 204,236.80
  4. Step 4: Simplify right side
    357,195.74x = 100,674,334,303.80
  5. Step 5: Solve for x
    x = 100,674,334,303.80/357,195.74
  6. Step 6: Final answer
    x = 281,846.41

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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.