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Finding the Fourth Proportional to 395,994.98, 546,475.50 and 214,705.32

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Solution

The fourth proportional to 395,994.98, 546,475.50 and 214,705.32 is: 296,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,994.98 : 546,475.50 = 214,705.32 : x
  2. Step 2: Convert to fraction form
    395,994.98/546,475.50 = 214,705.32/x
  3. Step 3: Cross multiply
    395,994.98x = 546,475.50 × 214,705.32
  4. Step 4: Simplify right side
    395,994.98x = 117,331,197,099.66
  5. Step 5: Solve for x
    x = 117,331,197,099.66/395,994.98
  6. Step 6: Final answer
    x = 296,294.66

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1.5x scale

Why These Related Problems?

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