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Finding the Fourth Proportional to 384,155.20, 576,232.80 and 353,742.40

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Solution

The fourth proportional to 384,155.20, 576,232.80 and 353,742.40 is: 530,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,155.20 : 576,232.80 = 353,742.40 : x
  2. Step 2: Convert to fraction form
    384,155.20/576,232.80 = 353,742.40/x
  3. Step 3: Cross multiply
    384,155.20x = 576,232.80 × 353,742.40
  4. Step 4: Simplify right side
    384,155.20x = 203,837,973,630.72
  5. Step 5: Solve for x
    x = 203,837,973,630.72/384,155.20
  6. Step 6: Final answer
    x = 530,613.60

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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.