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Finding the Fourth Proportional to 465,444.50, 642,313.41 and 253,476.50

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Solution

The fourth proportional to 465,444.50, 642,313.41 and 253,476.50 is: 349,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,444.50 : 642,313.41 = 253,476.50 : x
  2. Step 2: Convert to fraction form
    465,444.50/642,313.41 = 253,476.50/x
  3. Step 3: Cross multiply
    465,444.50x = 642,313.41 × 253,476.50
  4. Step 4: Simplify right side
    465,444.50x = 162,811,355,069.87
  5. Step 5: Solve for x
    x = 162,811,355,069.87/465,444.50
  6. Step 6: Final answer
    x = 349,797.57

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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.