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Finding the Fourth Proportional to 616,477, 924,715.50 and 173,245

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Solution

The fourth proportional to 616,477, 924,715.50 and 173,245 is: 259,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,477 : 924,715.50 = 173,245 : x
  2. Step 2: Convert to fraction form
    616,477/924,715.50 = 173,245/x
  3. Step 3: Cross multiply
    616,477x = 924,715.50 × 173,245
  4. Step 4: Simplify right side
    616,477x = 160,202,336,797.50
  5. Step 5: Solve for x
    x = 160,202,336,797.50/616,477
  6. Step 6: Final answer
    x = 259,867.50

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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.