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Finding the Fourth Proportional to 329,025.17, 493,734.32 and 302,256.05

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Solution

The fourth proportional to 329,025.17, 493,734.32 and 302,256.05 is: 453,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,025.17 : 493,734.32 = 302,256.05 : x
  2. Step 2: Convert to fraction form
    329,025.17/493,734.32 = 302,256.05/x
  3. Step 3: Cross multiply
    329,025.17x = 493,734.32 × 302,256.05
  4. Step 4: Simplify right side
    329,025.17x = 149,234,185,312.64
  5. Step 5: Solve for x
    x = 149,234,185,312.64/329,025.17
  6. Step 6: Final answer
    x = 453,564.65

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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.