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Finding the Fourth Proportional to 601,988.62, 830,712.54 and 343,814.80

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Solution

The fourth proportional to 601,988.62, 830,712.54 and 343,814.80 is: 474,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,988.62 : 830,712.54 = 343,814.80 : x
  2. Step 2: Convert to fraction form
    601,988.62/830,712.54 = 343,814.80/x
  3. Step 3: Cross multiply
    601,988.62x = 830,712.54 × 343,814.80
  4. Step 4: Simplify right side
    601,988.62x = 285,611,265,797.59
  5. Step 5: Solve for x
    x = 285,611,265,797.59/601,988.62
  6. Step 6: Final answer
    x = 474,446.29

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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.