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Finding the Fourth Proportional to 601,992.12, 830,717.36 and 343,818.32

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Solution

The fourth proportional to 601,992.12, 830,717.36 and 343,818.32 is: 474,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,992.12 : 830,717.36 = 343,818.32 : x
  2. Step 2: Convert to fraction form
    601,992.12/830,717.36 = 343,818.32/x
  3. Step 3: Cross multiply
    601,992.12x = 830,717.36 × 343,818.32
  4. Step 4: Simplify right side
    601,992.12x = 285,615,847,110.04
  5. Step 5: Solve for x
    x = 285,615,847,110.04/601,992.12
  6. Step 6: Final answer
    x = 474,451.14

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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.