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Finding the Fourth Proportional to 296,185.33, 408,310.63 and 211,154.77

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Solution

The fourth proportional to 296,185.33, 408,310.63 and 211,154.77 is: 291,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,185.33 : 408,310.63 = 211,154.77 : x
  2. Step 2: Convert to fraction form
    296,185.33/408,310.63 = 211,154.77/x
  3. Step 3: Cross multiply
    296,185.33x = 408,310.63 × 211,154.77
  4. Step 4: Simplify right side
    296,185.33x = 86,216,737,166.21
  5. Step 5: Solve for x
    x = 86,216,737,166.21/296,185.33
  6. Step 6: Final answer
    x = 291,090.50

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1.5x scale

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.