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Finding the Fourth Proportional to 384,124.40, 576,167.40 and 197,154.80

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Solution

The fourth proportional to 384,124.40, 576,167.40 and 197,154.80 is: 295,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,124.40 : 576,167.40 = 197,154.80 : x
  2. Step 2: Convert to fraction form
    384,124.40/576,167.40 = 197,154.80/x
  3. Step 3: Cross multiply
    384,124.40x = 576,167.40 × 197,154.80
  4. Step 4: Simplify right side
    384,124.40x = 113,594,168,513.52
  5. Step 5: Solve for x
    x = 113,594,168,513.52/384,124.40
  6. Step 6: Final answer
    x = 295,722.35

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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.