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Finding the Fourth Proportional to 469,645.42, 648,110.94 and 254,785.46

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Solution

The fourth proportional to 469,645.42, 648,110.94 and 254,785.46 is: 351,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,645.42 : 648,110.94 = 254,785.46 : x
  2. Step 2: Convert to fraction form
    469,645.42/648,110.94 = 254,785.46/x
  3. Step 3: Cross multiply
    469,645.42x = 648,110.94 × 254,785.46
  4. Step 4: Simplify right side
    469,645.42x = 165,129,243,428.56
  5. Step 5: Solve for x
    x = 165,129,243,428.56/469,645.42
  6. Step 6: Final answer
    x = 351,604.08

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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.