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Finding the Fourth Proportional to 329,114.61, 493,298.60 and 151,254

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Solution

The fourth proportional to 329,114.61, 493,298.60 and 151,254 is: 226,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,114.61 : 493,298.60 = 151,254 : x
  2. Step 2: Convert to fraction form
    329,114.61/493,298.60 = 151,254/x
  3. Step 3: Cross multiply
    329,114.61x = 493,298.60 × 151,254
  4. Step 4: Simplify right side
    329,114.61x = 74,613,385,688.13
  5. Step 5: Solve for x
    x = 74,613,385,688.13/329,114.61
  6. Step 6: Final answer
    x = 226,709.43

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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.