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Finding the Fourth Proportional to 329,200.34, 493,800.54 and 92,543.04

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Solution

The fourth proportional to 329,200.34, 493,800.54 and 92,543.04 is: 138,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,200.34 : 493,800.54 = 92,543.04 : x
  2. Step 2: Convert to fraction form
    329,200.34/493,800.54 = 92,543.04/x
  3. Step 3: Cross multiply
    329,200.34x = 493,800.54 × 92,543.04
  4. Step 4: Simplify right side
    329,200.34x = 45,697,803,125.24
  5. Step 5: Solve for x
    x = 45,697,803,125.24/329,200.34
  6. Step 6: Final answer
    x = 138,814.57

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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.