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Finding the Fourth Proportional to 384,355.80, 576,533.70 and 171,123.30

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Solution

The fourth proportional to 384,355.80, 576,533.70 and 171,123.30 is: 256,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,355.80 : 576,533.70 = 171,123.30 : x
  2. Step 2: Convert to fraction form
    384,355.80/576,533.70 = 171,123.30/x
  3. Step 3: Cross multiply
    384,355.80x = 576,533.70 × 171,123.30
  4. Step 4: Simplify right side
    384,355.80x = 98,658,349,305.21
  5. Step 5: Solve for x
    x = 98,658,349,305.21/384,355.80
  6. Step 6: Final answer
    x = 256,684.95

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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.