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Finding the Fourth Proportional to 314,586.94, 434,224.84 and 214,043.26

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Solution

The fourth proportional to 314,586.94, 434,224.84 and 214,043.26 is: 295,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,586.94 : 434,224.84 = 214,043.26 : x
  2. Step 2: Convert to fraction form
    314,586.94/434,224.84 = 214,043.26/x
  3. Step 3: Cross multiply
    314,586.94x = 434,224.84 × 214,043.26
  4. Step 4: Simplify right side
    314,586.94x = 92,942,897,620.35
  5. Step 5: Solve for x
    x = 92,942,897,620.35/314,586.94
  6. Step 6: Final answer
    x = 295,444.24

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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.