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Finding the Fourth Proportional to 323,956.80, 447,050.34 and 180,741.11

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Solution

The fourth proportional to 323,956.80, 447,050.34 and 180,741.11 is: 249,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,956.80 : 447,050.34 = 180,741.11 : x
  2. Step 2: Convert to fraction form
    323,956.80/447,050.34 = 180,741.11/x
  3. Step 3: Cross multiply
    323,956.80x = 447,050.34 × 180,741.11
  4. Step 4: Simplify right side
    323,956.80x = 80,800,372,442.23
  5. Step 5: Solve for x
    x = 80,800,372,442.23/323,956.80
  6. Step 6: Final answer
    x = 249,417.12

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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.