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Finding the Fourth Proportional to 616,170.96, 924,334.36 and 211,442.04

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Solution

The fourth proportional to 616,170.96, 924,334.36 and 211,442.04 is: 317,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,170.96 : 924,334.36 = 211,442.04 : x
  2. Step 2: Convert to fraction form
    616,170.96/924,334.36 = 211,442.04/x
  3. Step 3: Cross multiply
    616,170.96x = 924,334.36 × 211,442.04
  4. Step 4: Simplify right side
    616,170.96x = 195,443,142,720.49
  5. Step 5: Solve for x
    x = 195,443,142,720.49/616,170.96
  6. Step 6: Final answer
    x = 317,189.80

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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.