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Finding the Fourth Proportional to 291,806.64, 402,755.76 and 184,308.30

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Solution

The fourth proportional to 291,806.64, 402,755.76 and 184,308.30 is: 254,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,806.64 : 402,755.76 = 184,308.30 : x
  2. Step 2: Convert to fraction form
    291,806.64/402,755.76 = 184,308.30/x
  3. Step 3: Cross multiply
    291,806.64x = 402,755.76 × 184,308.30
  4. Step 4: Simplify right side
    291,806.64x = 74,231,229,440.81
  5. Step 5: Solve for x
    x = 74,231,229,440.81/291,806.64
  6. Step 6: Final answer
    x = 254,384.99

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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.