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Finding the Fourth Proportional to 384,196.80, 576,289.80 and 173,834.40

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Solution

The fourth proportional to 384,196.80, 576,289.80 and 173,834.40 is: 260,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,196.80 : 576,289.80 = 173,834.40 : x
  2. Step 2: Convert to fraction form
    384,196.80/576,289.80 = 173,834.40/x
  3. Step 3: Cross multiply
    384,196.80x = 576,289.80 × 173,834.40
  4. Step 4: Simplify right side
    384,196.80x = 100,178,991,609.12
  5. Step 5: Solve for x
    x = 100,178,991,609.12/384,196.80
  6. Step 6: Final answer
    x = 260,749.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.