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Finding the Fourth Proportional to 255,924.32, 353,104.66 and 165,284.12

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Solution

The fourth proportional to 255,924.32, 353,104.66 and 165,284.12 is: 228,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,924.32 : 353,104.66 = 165,284.12 : x
  2. Step 2: Convert to fraction form
    255,924.32/353,104.66 = 165,284.12/x
  3. Step 3: Cross multiply
    255,924.32x = 353,104.66 × 165,284.12
  4. Step 4: Simplify right side
    255,924.32x = 58,362,592,996.00
  5. Step 5: Solve for x
    x = 58,362,592,996.00/255,924.32
  6. Step 6: Final answer
    x = 228,046.30

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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.