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Finding the Fourth Proportional to 395,675.32, 546,031.16 and 214,392.15

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Solution

The fourth proportional to 395,675.32, 546,031.16 and 214,392.15 is: 295,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,675.32 : 546,031.16 = 214,392.15 : x
  2. Step 2: Convert to fraction form
    395,675.32/546,031.16 = 214,392.15/x
  3. Step 3: Cross multiply
    395,675.32x = 546,031.16 × 214,392.15
  4. Step 4: Simplify right side
    395,675.32x = 117,064,796,321.17
  5. Step 5: Solve for x
    x = 117,064,796,321.17/395,675.32
  6. Step 6: Final answer
    x = 295,860.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.