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Finding the Fourth Proportional to 306,370.64, 459,556.12 and 140,042

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Solution

The fourth proportional to 306,370.64, 459,556.12 and 140,042 is: 210,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,370.64 : 459,556.12 = 140,042 : x
  2. Step 2: Convert to fraction form
    306,370.64/459,556.12 = 140,042/x
  3. Step 3: Cross multiply
    306,370.64x = 459,556.12 × 140,042
  4. Step 4: Simplify right side
    306,370.64x = 64,357,158,157.04
  5. Step 5: Solve for x
    x = 64,357,158,157.04/306,370.64
  6. Step 6: Final answer
    x = 210,063.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.