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Finding the Fourth Proportional to 616,176.44, 924,381.31 and 283,752.44

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Solution

The fourth proportional to 616,176.44, 924,381.31 and 283,752.44 is: 425,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,176.44 : 924,381.31 = 283,752.44 : x
  2. Step 2: Convert to fraction form
    616,176.44/924,381.31 = 283,752.44/x
  3. Step 3: Cross multiply
    616,176.44x = 924,381.31 × 283,752.44
  4. Step 4: Simplify right side
    616,176.44x = 262,295,452,202.90
  5. Step 5: Solve for x
    x = 262,295,452,202.90/616,176.44
  6. Step 6: Final answer
    x = 425,682.38

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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.