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Finding the Fourth Proportional to 458,536.59, 632,800.25 and 254,587.52

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Solution

The fourth proportional to 458,536.59, 632,800.25 and 254,587.52 is: 351,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,536.59 : 632,800.25 = 254,587.52 : x
  2. Step 2: Convert to fraction form
    458,536.59/632,800.25 = 254,587.52/x
  3. Step 3: Cross multiply
    458,536.59x = 632,800.25 × 254,587.52
  4. Step 4: Simplify right side
    458,536.59x = 161,103,046,625.70
  5. Step 5: Solve for x
    x = 161,103,046,625.70/458,536.59
  6. Step 6: Final answer
    x = 351,341.75

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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.