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Finding the Fourth Proportional to 432,309.74, 596,647.41 and 241,335.50

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Solution

The fourth proportional to 432,309.74, 596,647.41 and 241,335.50 is: 333,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,309.74 : 596,647.41 = 241,335.50 : x
  2. Step 2: Convert to fraction form
    432,309.74/596,647.41 = 241,335.50/x
  3. Step 3: Cross multiply
    432,309.74x = 596,647.41 × 241,335.50
  4. Step 4: Simplify right side
    432,309.74x = 143,992,201,016.06
  5. Step 5: Solve for x
    x = 143,992,201,016.06/432,309.74
  6. Step 6: Final answer
    x = 333,076.47

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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.