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Finding the Fourth Proportional to 458,830.98, 633,288.03 and 254,952

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Solution

The fourth proportional to 458,830.98, 633,288.03 and 254,952 is: 351,890.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,830.98 : 633,288.03 = 254,952 : x
  2. Step 2: Convert to fraction form
    458,830.98/633,288.03 = 254,952/x
  3. Step 3: Cross multiply
    458,830.98x = 633,288.03 × 254,952
  4. Step 4: Simplify right side
    458,830.98x = 161,458,049,824.56
  5. Step 5: Solve for x
    x = 161,458,049,824.56/458,830.98
  6. Step 6: Final answer
    x = 351,890.04

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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.