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Finding the Fourth Proportional to 291,043.29, 436,656.06 and 185,088

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Solution

The fourth proportional to 291,043.29, 436,656.06 and 185,088 is: 277,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,043.29 : 436,656.06 = 185,088 : x
  2. Step 2: Convert to fraction form
    291,043.29/436,656.06 = 185,088/x
  3. Step 3: Cross multiply
    291,043.29x = 436,656.06 × 185,088
  4. Step 4: Simplify right side
    291,043.29x = 80,819,796,833.28
  5. Step 5: Solve for x
    x = 80,819,796,833.28/291,043.29
  6. Step 6: Final answer
    x = 277,689.95

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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.