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Finding the Fourth Proportional to 365,301.44, 503,973.60 and 229,256

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Solution

The fourth proportional to 365,301.44, 503,973.60 and 229,256 is: 316,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,301.44 : 503,973.60 = 229,256 : x
  2. Step 2: Convert to fraction form
    365,301.44/503,973.60 = 229,256/x
  3. Step 3: Cross multiply
    365,301.44x = 503,973.60 × 229,256
  4. Step 4: Simplify right side
    365,301.44x = 115,538,971,641.60
  5. Step 5: Solve for x
    x = 115,538,971,641.60/365,301.44
  6. Step 6: Final answer
    x = 316,283.92

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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.