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Finding the Fourth Proportional to 417,188.16, 625,831.20 and 151,074.24

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Solution

The fourth proportional to 417,188.16, 625,831.20 and 151,074.24 is: 226,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,188.16 : 625,831.20 = 151,074.24 : x
  2. Step 2: Convert to fraction form
    417,188.16/625,831.20 = 151,074.24/x
  3. Step 3: Cross multiply
    417,188.16x = 625,831.20 × 151,074.24
  4. Step 4: Simplify right side
    417,188.16x = 94,546,972,908.29
  5. Step 5: Solve for x
    x = 94,546,972,908.29/417,188.16
  6. Step 6: Final answer
    x = 226,629.09

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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.