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Finding the Fourth Proportional to 323,774.64, 446,806.98 and 180,536.40

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Solution

The fourth proportional to 323,774.64, 446,806.98 and 180,536.40 is: 249,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,774.64 : 446,806.98 = 180,536.40 : x
  2. Step 2: Convert to fraction form
    323,774.64/446,806.98 = 180,536.40/x
  3. Step 3: Cross multiply
    323,774.64x = 446,806.98 × 180,536.40
  4. Step 4: Simplify right side
    323,774.64x = 80,664,923,664.07
  5. Step 5: Solve for x
    x = 80,664,923,664.07/323,774.64
  6. Step 6: Final answer
    x = 249,139.10

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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.