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Finding the Fourth Proportional to 416,831.16, 625,119.06 and 150,558.84

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Solution

The fourth proportional to 416,831.16, 625,119.06 and 150,558.84 is: 225,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,831.16 : 625,119.06 = 150,558.84 : x
  2. Step 2: Convert to fraction form
    416,831.16/625,119.06 = 150,558.84/x
  3. Step 3: Cross multiply
    416,831.16x = 625,119.06 × 150,558.84
  4. Step 4: Simplify right side
    416,831.16x = 94,117,200,535.49
  5. Step 5: Solve for x
    x = 94,117,200,535.49/416,831.16
  6. Step 6: Final answer
    x = 225,792.14

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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.