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Finding the Fourth Proportional to 395,048.96, 545,080.56 and 233,823.68

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Solution

The fourth proportional to 395,048.96, 545,080.56 and 233,823.68 is: 322,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,048.96 : 545,080.56 = 233,823.68 : x
  2. Step 2: Convert to fraction form
    395,048.96/545,080.56 = 233,823.68/x
  3. Step 3: Cross multiply
    395,048.96x = 545,080.56 × 233,823.68
  4. Step 4: Simplify right side
    395,048.96x = 127,452,742,435.66
  5. Step 5: Solve for x
    x = 127,452,742,435.66/395,048.96
  6. Step 6: Final answer
    x = 322,625.18

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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.