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Finding the Fourth Proportional to 465,548.50, 642,457.61 and 264,344.50

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Solution

The fourth proportional to 465,548.50, 642,457.61 and 264,344.50 is: 364,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,548.50 : 642,457.61 = 264,344.50 : x
  2. Step 2: Convert to fraction form
    465,548.50/642,457.61 = 264,344.50/x
  3. Step 3: Cross multiply
    465,548.50x = 642,457.61 × 264,344.50
  4. Step 4: Simplify right side
    465,548.50x = 169,830,135,686.65
  5. Step 5: Solve for x
    x = 169,830,135,686.65/465,548.50
  6. Step 6: Final answer
    x = 364,795.80

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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.