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Finding the Fourth Proportional to 417,124.02, 575,325.40 and 273,831.78

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Solution

The fourth proportional to 417,124.02, 575,325.40 and 273,831.78 is: 377,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,124.02 : 575,325.40 = 273,831.78 : x
  2. Step 2: Convert to fraction form
    417,124.02/575,325.40 = 273,831.78/x
  3. Step 3: Cross multiply
    417,124.02x = 575,325.40 × 273,831.78
  4. Step 4: Simplify right side
    417,124.02x = 157,542,378,361.21
  5. Step 5: Solve for x
    x = 157,542,378,361.21/417,124.02
  6. Step 6: Final answer
    x = 377,687.14

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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.