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Finding the Fourth Proportional to 313,887.40, 433,166.34 and 184,831.48

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Solution

The fourth proportional to 313,887.40, 433,166.34 and 184,831.48 is: 255,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,887.40 : 433,166.34 = 184,831.48 : x
  2. Step 2: Convert to fraction form
    313,887.40/433,166.34 = 184,831.48/x
  3. Step 3: Cross multiply
    313,887.40x = 433,166.34 × 184,831.48
  4. Step 4: Simplify right side
    313,887.40x = 80,062,775,708.38
  5. Step 5: Solve for x
    x = 80,062,775,708.38/313,887.40
  6. Step 6: Final answer
    x = 255,068.46

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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.