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Finding the Fourth Proportional to 384,533.84, 576,867.18 and 171,377.48

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Solution

The fourth proportional to 384,533.84, 576,867.18 and 171,377.48 is: 257,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,533.84 : 576,867.18 = 171,377.48 : x
  2. Step 2: Convert to fraction form
    384,533.84/576,867.18 = 171,377.48/x
  3. Step 3: Cross multiply
    384,533.84x = 576,867.18 × 171,377.48
  4. Step 4: Simplify right side
    384,533.84x = 98,862,043,603.11
  5. Step 5: Solve for x
    x = 98,862,043,603.11/384,533.84
  6. Step 6: Final answer
    x = 257,095.82

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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.