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Finding the Fourth Proportional to 384,532.84, 576,865.68 and 171,376.48

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Solution

The fourth proportional to 384,532.84, 576,865.68 and 171,376.48 is: 257,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,532.84 : 576,865.68 = 171,376.48 : x
  2. Step 2: Convert to fraction form
    384,532.84/576,865.68 = 171,376.48/x
  3. Step 3: Cross multiply
    384,532.84x = 576,865.68 × 171,376.48
  4. Step 4: Simplify right side
    384,532.84x = 98,861,209,671.21
  5. Step 5: Solve for x
    x = 98,861,209,671.21/384,532.84
  6. Step 6: Final answer
    x = 257,094.32

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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.