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Finding the Fourth Proportional to 229,405.60, 344,108.40 and 214,643.35

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Solution

The fourth proportional to 229,405.60, 344,108.40 and 214,643.35 is: 321,965.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,405.60 : 344,108.40 = 214,643.35 : x
  2. Step 2: Convert to fraction form
    229,405.60/344,108.40 = 214,643.35/x
  3. Step 3: Cross multiply
    229,405.60x = 344,108.40 × 214,643.35
  4. Step 4: Simplify right side
    229,405.60x = 73,860,579,739.14
  5. Step 5: Solve for x
    x = 73,860,579,739.14/229,405.60
  6. Step 6: Final answer
    x = 321,965.03

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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.