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Finding the Fourth Proportional to 295,886.56, 408,208.71 and 188,437.36

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Solution

The fourth proportional to 295,886.56, 408,208.71 and 188,437.36 is: 259,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,886.56 : 408,208.71 = 188,437.36 : x
  2. Step 2: Convert to fraction form
    295,886.56/408,208.71 = 188,437.36/x
  3. Step 3: Cross multiply
    295,886.56x = 408,208.71 × 188,437.36
  4. Step 4: Simplify right side
    295,886.56x = 76,921,771,641.41
  5. Step 5: Solve for x
    x = 76,921,771,641.41/295,886.56
  6. Step 6: Final answer
    x = 259,970.48

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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.