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Finding the Fourth Proportional to 314,597.56, 434,239.50 and 214,053.88

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Solution

The fourth proportional to 314,597.56, 434,239.50 and 214,053.88 is: 295,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,597.56 : 434,239.50 = 214,053.88 : x
  2. Step 2: Convert to fraction form
    314,597.56/434,239.50 = 214,053.88/x
  3. Step 3: Cross multiply
    314,597.56x = 434,239.50 × 214,053.88
  4. Step 4: Simplify right side
    314,597.56x = 92,950,649,824.26
  5. Step 5: Solve for x
    x = 92,950,649,824.26/314,597.56
  6. Step 6: Final answer
    x = 295,458.90

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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.