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Finding the Fourth Proportional to 384,117.30, 576,175.95 and 103,662.90

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Solution

The fourth proportional to 384,117.30, 576,175.95 and 103,662.90 is: 155,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,117.30 : 576,175.95 = 103,662.90 : x
  2. Step 2: Convert to fraction form
    384,117.30/576,175.95 = 103,662.90/x
  3. Step 3: Cross multiply
    384,117.30x = 576,175.95 × 103,662.90
  4. Step 4: Simplify right side
    384,117.30x = 59,728,069,887.26
  5. Step 5: Solve for x
    x = 59,728,069,887.26/384,117.30
  6. Step 6: Final answer
    x = 155,494.35

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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.