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Finding the Fourth Proportional to 458,933.16, 633,323.16 and 252,204.96

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Solution

The fourth proportional to 458,933.16, 633,323.16 and 252,204.96 is: 348,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,933.16 : 633,323.16 = 252,204.96 : x
  2. Step 2: Convert to fraction form
    458,933.16/633,323.16 = 252,204.96/x
  3. Step 3: Cross multiply
    458,933.16x = 633,323.16 × 252,204.96
  4. Step 4: Simplify right side
    458,933.16x = 159,727,242,234.87
  5. Step 5: Solve for x
    x = 159,727,242,234.87/458,933.16
  6. Step 6: Final answer
    x = 348,040.32

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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.