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Finding the Fourth Proportional to 443,101.14, 611,476.47 and 241,897.14

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Solution

The fourth proportional to 443,101.14, 611,476.47 and 241,897.14 is: 333,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,101.14 : 611,476.47 = 241,897.14 : x
  2. Step 2: Convert to fraction form
    443,101.14/611,476.47 = 241,897.14/x
  3. Step 3: Cross multiply
    443,101.14x = 611,476.47 × 241,897.14
  4. Step 4: Simplify right side
    443,101.14x = 147,914,409,891.87
  5. Step 5: Solve for x
    x = 147,914,409,891.87/443,101.14
  6. Step 6: Final answer
    x = 333,816.36

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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.