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Finding the Fourth Proportional to 341,208.40, 512,233.80 and 214,848.40

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Solution

The fourth proportional to 341,208.40, 512,233.80 and 214,848.40 is: 322,537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,208.40 : 512,233.80 = 214,848.40 : x
  2. Step 2: Convert to fraction form
    341,208.40/512,233.80 = 214,848.40/x
  3. Step 3: Cross multiply
    341,208.40x = 512,233.80 × 214,848.40
  4. Step 4: Simplify right side
    341,208.40x = 110,052,612,355.92
  5. Step 5: Solve for x
    x = 110,052,612,355.92/341,208.40
  6. Step 6: Final answer
    x = 322,537.82

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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.