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Finding the Fourth Proportional to 325,957.97, 449,823.03 and 180,774.11

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Solution

The fourth proportional to 325,957.97, 449,823.03 and 180,774.11 is: 249,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,957.97 : 449,823.03 = 180,774.11 : x
  2. Step 2: Convert to fraction form
    325,957.97/449,823.03 = 180,774.11/x
  3. Step 3: Cross multiply
    325,957.97x = 449,823.03 × 180,774.11
  4. Step 4: Simplify right side
    325,957.97x = 81,316,357,905.75
  5. Step 5: Solve for x
    x = 81,316,357,905.75/325,957.97
  6. Step 6: Final answer
    x = 249,468.84

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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.