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Finding the Fourth Proportional to 287,074.15, 396,205.86 and 172,416.11

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Solution

The fourth proportional to 287,074.15, 396,205.86 and 172,416.11 is: 237,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,074.15 : 396,205.86 = 172,416.11 : x
  2. Step 2: Convert to fraction form
    287,074.15/396,205.86 = 172,416.11/x
  3. Step 3: Cross multiply
    287,074.15x = 396,205.86 × 172,416.11
  4. Step 4: Simplify right side
    287,074.15x = 68,312,271,805.94
  5. Step 5: Solve for x
    x = 68,312,271,805.94/287,074.15
  6. Step 6: Final answer
    x = 237,960.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.