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Finding the Fourth Proportional to 616,540, 924,810 and 173,308

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Solution

The fourth proportional to 616,540, 924,810 and 173,308 is: 259,962

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,540 : 924,810 = 173,308 : x
  2. Step 2: Convert to fraction form
    616,540/924,810 = 173,308/x
  3. Step 3: Cross multiply
    616,540x = 924,810 × 173,308
  4. Step 4: Simplify right side
    616,540x = 160,276,971,480
  5. Step 5: Solve for x
    x = 160,276,971,480/616,540
  6. Step 6: Final answer
    x = 259,962

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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.