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Finding the Fourth Proportional to 384,308.60, 576,635.70 and 173,838.20

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Solution

The fourth proportional to 384,308.60, 576,635.70 and 173,838.20 is: 260,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,308.60 : 576,635.70 = 173,838.20 : x
  2. Step 2: Convert to fraction form
    384,308.60/576,635.70 = 173,838.20/x
  3. Step 3: Cross multiply
    384,308.60x = 576,635.70 × 173,838.20
  4. Step 4: Simplify right side
    384,308.60x = 100,241,312,143.74
  5. Step 5: Solve for x
    x = 100,241,312,143.74/384,308.60
  6. Step 6: Final answer
    x = 260,835.46

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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.