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Finding the Fourth Proportional to 341,645.34, 511,845.93 and 334,180.38

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Solution

The fourth proportional to 341,645.34, 511,845.93 and 334,180.38 is: 500,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,645.34 : 511,845.93 = 334,180.38 : x
  2. Step 2: Convert to fraction form
    341,645.34/511,845.93 = 334,180.38/x
  3. Step 3: Cross multiply
    341,645.34x = 511,845.93 × 334,180.38
  4. Step 4: Simplify right side
    341,645.34x = 171,048,867,388.85
  5. Step 5: Solve for x
    x = 171,048,867,388.85/341,645.34
  6. Step 6: Final answer
    x = 500,662.08

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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.