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Finding the Fourth Proportional to 329,208.36, 493,154.82 and 151,471.68

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Solution

The fourth proportional to 329,208.36, 493,154.82 and 151,471.68 is: 226,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,208.36 : 493,154.82 = 151,471.68 : x
  2. Step 2: Convert to fraction form
    329,208.36/493,154.82 = 151,471.68/x
  3. Step 3: Cross multiply
    329,208.36x = 493,154.82 × 151,471.68
  4. Step 4: Simplify right side
    329,208.36x = 74,698,989,085.50
  5. Step 5: Solve for x
    x = 74,698,989,085.50/329,208.36
  6. Step 6: Final answer
    x = 226,904.90

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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.