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Finding the Fourth Proportional to 384,539.79, 576,643.26 and 159,746.25

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Solution

The fourth proportional to 384,539.79, 576,643.26 and 159,746.25 is: 239,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,539.79 : 576,643.26 = 159,746.25 : x
  2. Step 2: Convert to fraction form
    384,539.79/576,643.26 = 159,746.25/x
  3. Step 3: Cross multiply
    384,539.79x = 576,643.26 × 159,746.25
  4. Step 4: Simplify right side
    384,539.79x = 92,116,598,372.78
  5. Step 5: Solve for x
    x = 92,116,598,372.78/384,539.79
  6. Step 6: Final answer
    x = 239,550.24

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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.