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Finding the Fourth Proportional to 255,893.60, 353,307.12 and 165,468.32

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Solution

The fourth proportional to 255,893.60, 353,307.12 and 165,468.32 is: 228,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,893.60 : 353,307.12 = 165,468.32 : x
  2. Step 2: Convert to fraction form
    255,893.60/353,307.12 = 165,468.32/x
  3. Step 3: Cross multiply
    255,893.60x = 353,307.12 × 165,468.32
  4. Step 4: Simplify right side
    255,893.60x = 58,461,135,590.44
  5. Step 5: Solve for x
    x = 58,461,135,590.44/255,893.60
  6. Step 6: Final answer
    x = 228,458.76

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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.