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Finding the Fourth Proportional to 389,617.40, 584,426.10 and 152,838.20

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Solution

The fourth proportional to 389,617.40, 584,426.10 and 152,838.20 is: 229,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,617.40 : 584,426.10 = 152,838.20 : x
  2. Step 2: Convert to fraction form
    389,617.40/584,426.10 = 152,838.20/x
  3. Step 3: Cross multiply
    389,617.40x = 584,426.10 × 152,838.20
  4. Step 4: Simplify right side
    389,617.40x = 89,322,633,157.02
  5. Step 5: Solve for x
    x = 89,322,633,157.02/389,617.40
  6. Step 6: Final answer
    x = 229,257.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.