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Finding the Fourth Proportional to 296,291.76, 408,496.60 and 188,822.58

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Solution

The fourth proportional to 296,291.76, 408,496.60 and 188,822.58 is: 260,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,291.76 : 408,496.60 = 188,822.58 : x
  2. Step 2: Convert to fraction form
    296,291.76/408,496.60 = 188,822.58/x
  3. Step 3: Cross multiply
    296,291.76x = 408,496.60 × 188,822.58
  4. Step 4: Simplify right side
    296,291.76x = 77,133,381,933.23
  5. Step 5: Solve for x
    x = 77,133,381,933.23/296,291.76
  6. Step 6: Final answer
    x = 260,329.15

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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.