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Finding the Fourth Proportional to 292,488, 438,732.06 and 105,499.48

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Solution

The fourth proportional to 292,488, 438,732.06 and 105,499.48 is: 158,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,488 : 438,732.06 = 105,499.48 : x
  2. Step 2: Convert to fraction form
    292,488/438,732.06 = 105,499.48/x
  3. Step 3: Cross multiply
    292,488x = 438,732.06 × 105,499.48
  4. Step 4: Simplify right side
    292,488x = 46,286,004,189.33
  5. Step 5: Solve for x
    x = 46,286,004,189.33/292,488
  6. Step 6: Final answer
    x = 158,249.24

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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.