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Finding the Fourth Proportional to 296,086.84, 408,485.10 and 188,637.64

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Solution

The fourth proportional to 296,086.84, 408,485.10 and 188,637.64 is: 260,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,086.84 : 408,485.10 = 188,637.64 : x
  2. Step 2: Convert to fraction form
    296,086.84/408,485.10 = 188,637.64/x
  3. Step 3: Cross multiply
    296,086.84x = 408,485.10 × 188,637.64
  4. Step 4: Simplify right side
    296,086.84x = 77,055,665,239.16
  5. Step 5: Solve for x
    x = 77,055,665,239.16/296,086.84
  6. Step 6: Final answer
    x = 260,246.84

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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.