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Finding the Fourth Proportional to 272,035.37, 407,999.93 and 258,532.87

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Solution

The fourth proportional to 272,035.37, 407,999.93 and 258,532.87 is: 387,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,035.37 : 407,999.93 = 258,532.87 : x
  2. Step 2: Convert to fraction form
    272,035.37/407,999.93 = 258,532.87/x
  3. Step 3: Cross multiply
    272,035.37x = 407,999.93 × 258,532.87
  4. Step 4: Simplify right side
    272,035.37x = 105,481,392,862.70
  5. Step 5: Solve for x
    x = 105,481,392,862.70/272,035.37
  6. Step 6: Final answer
    x = 387,748.82

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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.