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Finding the Fourth Proportional to 458,902.21, 633,247.92 and 265,322.34

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Solution

The fourth proportional to 458,902.21, 633,247.92 and 265,322.34 is: 366,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,902.21 : 633,247.92 = 265,322.34 : x
  2. Step 2: Convert to fraction form
    458,902.21/633,247.92 = 265,322.34/x
  3. Step 3: Cross multiply
    458,902.21x = 633,247.92 × 265,322.34
  4. Step 4: Simplify right side
    458,902.21x = 168,014,822,260.27
  5. Step 5: Solve for x
    x = 168,014,822,260.27/458,902.21
  6. Step 6: Final answer
    x = 366,123.37

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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.