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Finding the Fourth Proportional to 616,218.86, 924,242 and 211,404.35

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Solution

The fourth proportional to 616,218.86, 924,242 and 211,404.35 is: 317,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,218.86 : 924,242 = 211,404.35 : x
  2. Step 2: Convert to fraction form
    616,218.86/924,242 = 211,404.35/x
  3. Step 3: Cross multiply
    616,218.86x = 924,242 × 211,404.35
  4. Step 4: Simplify right side
    616,218.86x = 195,388,781,563.31
  5. Step 5: Solve for x
    x = 195,388,781,563.31/616,218.86
  6. Step 6: Final answer
    x = 317,076.92

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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.