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Finding the Fourth Proportional to 332,416.14, 461,831.20 and 328,430.33

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Solution

The fourth proportional to 332,416.14, 461,831.20 and 328,430.33 is: 456,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,416.14 : 461,831.20 = 328,430.33 : x
  2. Step 2: Convert to fraction form
    332,416.14/461,831.20 = 328,430.33/x
  3. Step 3: Cross multiply
    332,416.14x = 461,831.20 × 328,430.33
  4. Step 4: Simplify right side
    332,416.14x = 151,679,374,574.87
  5. Step 5: Solve for x
    x = 151,679,374,574.87/332,416.14
  6. Step 6: Final answer
    x = 456,293.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.