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Finding the Fourth Proportional to 616,476, 924,714 and 173,244

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Solution

The fourth proportional to 616,476, 924,714 and 173,244 is: 259,866

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,476 : 924,714 = 173,244 : x
  2. Step 2: Convert to fraction form
    616,476/924,714 = 173,244/x
  3. Step 3: Cross multiply
    616,476x = 924,714 × 173,244
  4. Step 4: Simplify right side
    616,476x = 160,201,152,216
  5. Step 5: Solve for x
    x = 160,201,152,216/616,476
  6. Step 6: Final answer
    x = 259,866

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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.