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Finding the Fourth Proportional to 458,357.31, 632,530.89 and 254,410.65

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Solution

The fourth proportional to 458,357.31, 632,530.89 and 254,410.65 is: 351,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,357.31 : 632,530.89 = 254,410.65 : x
  2. Step 2: Convert to fraction form
    458,357.31/632,530.89 = 254,410.65/x
  3. Step 3: Cross multiply
    458,357.31x = 632,530.89 × 254,410.65
  4. Step 4: Simplify right side
    458,357.31x = 160,922,594,869.98
  5. Step 5: Solve for x
    x = 160,922,594,869.98/458,357.31
  6. Step 6: Final answer
    x = 351,085.48

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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.