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Finding the Fourth Proportional to 325,314.52, 448,831.74 and 182,051.80

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Solution

The fourth proportional to 325,314.52, 448,831.74 and 182,051.80 is: 251,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,314.52 : 448,831.74 = 182,051.80 : x
  2. Step 2: Convert to fraction form
    325,314.52/448,831.74 = 182,051.80/x
  3. Step 3: Cross multiply
    325,314.52x = 448,831.74 × 182,051.80
  4. Step 4: Simplify right side
    325,314.52x = 81,710,626,164.13
  5. Step 5: Solve for x
    x = 81,710,626,164.13/325,314.52
  6. Step 6: Final answer
    x = 251,174.24

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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.