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Finding the Fourth Proportional to 458,335.30, 632,618.97 and 313,199.83

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Solution

The fourth proportional to 458,335.30, 632,618.97 and 313,199.83 is: 432,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,335.30 : 632,618.97 = 313,199.83 : x
  2. Step 2: Convert to fraction form
    458,335.30/632,618.97 = 313,199.83/x
  3. Step 3: Cross multiply
    458,335.30x = 632,618.97 × 313,199.83
  4. Step 4: Simplify right side
    458,335.30x = 198,136,153,858.78
  5. Step 5: Solve for x
    x = 198,136,153,858.78/458,335.30
  6. Step 6: Final answer
    x = 432,295.21

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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.