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Finding the Fourth Proportional to 341,495.40, 512,194.92 and 214,749.18

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Solution

The fourth proportional to 341,495.40, 512,194.92 and 214,749.18 is: 322,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,495.40 : 512,194.92 = 214,749.18 : x
  2. Step 2: Convert to fraction form
    341,495.40/512,194.92 = 214,749.18/x
  3. Step 3: Cross multiply
    341,495.40x = 512,194.92 × 214,749.18
  4. Step 4: Simplify right side
    341,495.40x = 109,993,439,070.17
  5. Step 5: Solve for x
    x = 109,993,439,070.17/341,495.40
  6. Step 6: Final answer
    x = 322,093.47

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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.