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Finding the Fourth Proportional to 296,291.63, 408,496.42 and 188,822.45

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Solution

The fourth proportional to 296,291.63, 408,496.42 and 188,822.45 is: 260,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,291.63 : 408,496.42 = 188,822.45 : x
  2. Step 2: Convert to fraction form
    296,291.63/408,496.42 = 188,822.45/x
  3. Step 3: Cross multiply
    296,291.63x = 408,496.42 × 188,822.45
  4. Step 4: Simplify right side
    296,291.63x = 77,133,294,840.63
  5. Step 5: Solve for x
    x = 77,133,294,840.63/296,291.63
  6. Step 6: Final answer
    x = 260,328.97

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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.