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Finding the Fourth Proportional to 443,097, 611,473.86 and 241,893

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Solution

The fourth proportional to 443,097, 611,473.86 and 241,893 is: 333,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,097 : 611,473.86 = 241,893 : x
  2. Step 2: Convert to fraction form
    443,097/611,473.86 = 241,893/x
  3. Step 3: Cross multiply
    443,097x = 611,473.86 × 241,893
  4. Step 4: Simplify right side
    443,097x = 147,911,246,416.98
  5. Step 5: Solve for x
    x = 147,911,246,416.98/443,097
  6. Step 6: Final answer
    x = 333,812.34

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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.