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Finding the Fourth Proportional to 601,967.36, 830,683.16 and 343,793.22

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Solution

The fourth proportional to 601,967.36, 830,683.16 and 343,793.22 is: 474,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,967.36 : 830,683.16 = 343,793.22 : x
  2. Step 2: Convert to fraction form
    601,967.36/830,683.16 = 343,793.22/x
  3. Step 3: Cross multiply
    601,967.36x = 830,683.16 × 343,793.22
  4. Step 4: Simplify right side
    601,967.36x = 285,583,238,376.18
  5. Step 5: Solve for x
    x = 285,583,238,376.18/601,967.36
  6. Step 6: Final answer
    x = 474,416.49

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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.