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Finding the Fourth Proportional to 458,544.96, 631,751.07 and 354,822.48

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Solution

The fourth proportional to 458,544.96, 631,751.07 and 354,822.48 is: 488,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,544.96 : 631,751.07 = 354,822.48 : x
  2. Step 2: Convert to fraction form
    458,544.96/631,751.07 = 354,822.48/x
  3. Step 3: Cross multiply
    458,544.96x = 631,751.07 × 354,822.48
  4. Step 4: Simplify right side
    458,544.96x = 224,159,481,400.05
  5. Step 5: Solve for x
    x = 224,159,481,400.05/458,544.96
  6. Step 6: Final answer
    x = 488,849.52

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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.