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Finding the Fourth Proportional to 384,329.60, 576,667.20 and 173,859.20

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Solution

The fourth proportional to 384,329.60, 576,667.20 and 173,859.20 is: 260,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,329.60 : 576,667.20 = 173,859.20 : x
  2. Step 2: Convert to fraction form
    384,329.60/576,667.20 = 173,859.20/x
  3. Step 3: Cross multiply
    384,329.60x = 576,667.20 × 173,859.20
  4. Step 4: Simplify right side
    384,329.60x = 100,258,898,058.24
  5. Step 5: Solve for x
    x = 100,258,898,058.24/384,329.60
  6. Step 6: Final answer
    x = 260,866.97

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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.