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Finding the Fourth Proportional to 415,338.48, 622,741.56 and 175,387.38

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Solution

The fourth proportional to 415,338.48, 622,741.56 and 175,387.38 is: 262,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,338.48 : 622,741.56 = 175,387.38 : x
  2. Step 2: Convert to fraction form
    415,338.48/622,741.56 = 175,387.38/x
  3. Step 3: Cross multiply
    415,338.48x = 622,741.56 × 175,387.38
  4. Step 4: Simplify right side
    415,338.48x = 109,221,010,625.51
  5. Step 5: Solve for x
    x = 109,221,010,625.51/415,338.48
  6. Step 6: Final answer
    x = 262,968.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.