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Finding the Fourth Proportional to 290,185.16, 400,494.60 and 162,867.72

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Solution

The fourth proportional to 290,185.16, 400,494.60 and 162,867.72 is: 224,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,185.16 : 400,494.60 = 162,867.72 : x
  2. Step 2: Convert to fraction form
    290,185.16/400,494.60 = 162,867.72/x
  3. Step 3: Cross multiply
    290,185.16x = 400,494.60 × 162,867.72
  4. Step 4: Simplify right side
    290,185.16x = 65,227,642,374.31
  5. Step 5: Solve for x
    x = 65,227,642,374.31/290,185.16
  6. Step 6: Final answer
    x = 224,779.39

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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.