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Finding the Fourth Proportional to 465,580.48, 642,453.12 and 261,598.96

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Solution

The fourth proportional to 465,580.48, 642,453.12 and 261,598.96 is: 360,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,580.48 : 642,453.12 = 261,598.96 : x
  2. Step 2: Convert to fraction form
    465,580.48/642,453.12 = 261,598.96/x
  3. Step 3: Cross multiply
    465,580.48x = 642,453.12 × 261,598.96
  4. Step 4: Simplify right side
    465,580.48x = 168,065,068,040.76
  5. Step 5: Solve for x
    x = 168,065,068,040.76/465,580.48
  6. Step 6: Final answer
    x = 360,979.63

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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.