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Finding the Fourth Proportional to 458,287.10, 632,293.11 and 264,669.98

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Solution

The fourth proportional to 458,287.10, 632,293.11 and 264,669.98 is: 365,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,287.10 : 632,293.11 = 264,669.98 : x
  2. Step 2: Convert to fraction form
    458,287.10/632,293.11 = 264,669.98/x
  3. Step 3: Cross multiply
    458,287.10x = 632,293.11 × 264,669.98
  4. Step 4: Simplify right side
    458,287.10x = 167,349,004,777.84
  5. Step 5: Solve for x
    x = 167,349,004,777.84/458,287.10
  6. Step 6: Final answer
    x = 365,161.94

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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.