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Finding the Fourth Proportional to 941,709, 1,412,563.50 and 241,293

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Solution

The fourth proportional to 941,709, 1,412,563.50 and 241,293 is: 361,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,709 : 1,412,563.50 = 241,293 : x
  2. Step 2: Convert to fraction form
    941,709/1,412,563.50 = 241,293/x
  3. Step 3: Cross multiply
    941,709x = 1,412,563.50 × 241,293
  4. Step 4: Simplify right side
    941,709x = 340,841,684,605.50
  5. Step 5: Solve for x
    x = 340,841,684,605.50/941,709
  6. Step 6: Final answer
    x = 361,939.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.