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Finding the Fourth Proportional to 616,542, 924,813 and 173,310

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Solution

The fourth proportional to 616,542, 924,813 and 173,310 is: 259,965

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,542 : 924,813 = 173,310 : x
  2. Step 2: Convert to fraction form
    616,542/924,813 = 173,310/x
  3. Step 3: Cross multiply
    616,542x = 924,813 × 173,310
  4. Step 4: Simplify right side
    616,542x = 160,279,341,030
  5. Step 5: Solve for x
    x = 160,279,341,030/616,542
  6. Step 6: Final answer
    x = 259,965

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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.