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Finding the Fourth Proportional to 383,219.40, 574,829.10 and 345,894.60

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Solution

The fourth proportional to 383,219.40, 574,829.10 and 345,894.60 is: 518,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,219.40 : 574,829.10 = 345,894.60 : x
  2. Step 2: Convert to fraction form
    383,219.40/574,829.10 = 345,894.60/x
  3. Step 3: Cross multiply
    383,219.40x = 574,829.10 × 345,894.60
  4. Step 4: Simplify right side
    383,219.40x = 198,830,281,612.86
  5. Step 5: Solve for x
    x = 198,830,281,612.86/383,219.40
  6. Step 6: Final answer
    x = 518,841.90

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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.