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Finding the Fourth Proportional to 434,385.41, 599,096.43 and 305,749.71

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Solution

The fourth proportional to 434,385.41, 599,096.43 and 305,749.71 is: 421,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,385.41 : 599,096.43 = 305,749.71 : x
  2. Step 2: Convert to fraction form
    434,385.41/599,096.43 = 305,749.71/x
  3. Step 3: Cross multiply
    434,385.41x = 599,096.43 × 305,749.71
  4. Step 4: Simplify right side
    434,385.41x = 183,173,559,734.54
  5. Step 5: Solve for x
    x = 183,173,559,734.54/434,385.41
  6. Step 6: Final answer
    x = 421,684.42

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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.