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Finding the Fourth Proportional to 264,262.84, 364,985.70 and 174,022.36

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Solution

The fourth proportional to 264,262.84, 364,985.70 and 174,022.36 is: 240,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,262.84 : 364,985.70 = 174,022.36 : x
  2. Step 2: Convert to fraction form
    264,262.84/364,985.70 = 174,022.36/x
  3. Step 3: Cross multiply
    264,262.84x = 364,985.70 × 174,022.36
  4. Step 4: Simplify right side
    264,262.84x = 63,515,672,880.25
  5. Step 5: Solve for x
    x = 63,515,672,880.25/264,262.84
  6. Step 6: Final answer
    x = 240,350.38

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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.