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Finding the Fourth Proportional to 341,238.90, 512,279.55 and 214,878.90

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Solution

The fourth proportional to 341,238.90, 512,279.55 and 214,878.90 is: 322,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,238.90 : 512,279.55 = 214,878.90 : x
  2. Step 2: Convert to fraction form
    341,238.90/512,279.55 = 214,878.90/x
  3. Step 3: Cross multiply
    341,238.90x = 512,279.55 × 214,878.90
  4. Step 4: Simplify right side
    341,238.90x = 110,078,066,196.50
  5. Step 5: Solve for x
    x = 110,078,066,196.50/341,238.90
  6. Step 6: Final answer
    x = 322,583.58

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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.