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Finding the Fourth Proportional to 490,764.85, 735,830.15 and 234,492.19

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Solution

The fourth proportional to 490,764.85, 735,830.15 and 234,492.19 is: 351,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,764.85 : 735,830.15 = 234,492.19 : x
  2. Step 2: Convert to fraction form
    490,764.85/735,830.15 = 234,492.19/x
  3. Step 3: Cross multiply
    490,764.85x = 735,830.15 × 234,492.19
  4. Step 4: Simplify right side
    490,764.85x = 172,546,423,341.53
  5. Step 5: Solve for x
    x = 172,546,423,341.53/490,764.85
  6. Step 6: Final answer
    x = 351,586.76

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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.