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Finding the Fourth Proportional to 291,839.76, 402,470.28 and 184,223.76

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Solution

The fourth proportional to 291,839.76, 402,470.28 and 184,223.76 is: 254,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,839.76 : 402,470.28 = 184,223.76 : x
  2. Step 2: Convert to fraction form
    291,839.76/402,470.28 = 184,223.76/x
  3. Step 3: Cross multiply
    291,839.76x = 402,470.28 × 184,223.76
  4. Step 4: Simplify right side
    291,839.76x = 74,144,588,269.85
  5. Step 5: Solve for x
    x = 74,144,588,269.85/291,839.76
  6. Step 6: Final answer
    x = 254,059.24

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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.