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Finding the Fourth Proportional to 323,726.16, 446,774.76 and 187,801.68

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Solution

The fourth proportional to 323,726.16, 446,774.76 and 187,801.68 is: 259,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,726.16 : 446,774.76 = 187,801.68 : x
  2. Step 2: Convert to fraction form
    323,726.16/446,774.76 = 187,801.68/x
  3. Step 3: Cross multiply
    323,726.16x = 446,774.76 × 187,801.68
  4. Step 4: Simplify right side
    323,726.16x = 83,905,050,509.60
  5. Step 5: Solve for x
    x = 83,905,050,509.60/323,726.16
  6. Step 6: Final answer
    x = 259,185.26

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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.