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Finding the Fourth Proportional to 341,208.90, 512,234.55 and 214,848.90

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Solution

The fourth proportional to 341,208.90, 512,234.55 and 214,848.90 is: 322,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,208.90 : 512,234.55 = 214,848.90 : x
  2. Step 2: Convert to fraction form
    341,208.90/512,234.55 = 214,848.90/x
  3. Step 3: Cross multiply
    341,208.90x = 512,234.55 × 214,848.90
  4. Step 4: Simplify right side
    341,208.90x = 110,053,029,609.50
  5. Step 5: Solve for x
    x = 110,053,029,609.50/341,208.90
  6. Step 6: Final answer
    x = 322,538.57

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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.