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Finding the Fourth Proportional to 255,894.60, 353,308.50 and 165,469.32

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Solution

The fourth proportional to 255,894.60, 353,308.50 and 165,469.32 is: 228,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,894.60 : 353,308.50 = 165,469.32 : x
  2. Step 2: Convert to fraction form
    255,894.60/353,308.50 = 165,469.32/x
  3. Step 3: Cross multiply
    255,894.60x = 353,308.50 × 165,469.32
  4. Step 4: Simplify right side
    255,894.60x = 58,461,717,245.22
  5. Step 5: Solve for x
    x = 58,461,717,245.22/255,894.60
  6. Step 6: Final answer
    x = 228,460.14

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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.