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Finding the Fourth Proportional to 616,498.38, 850,214.93 and 513,474.57

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Solution

The fourth proportional to 616,498.38, 850,214.93 and 513,474.57 is: 708,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,498.38 : 850,214.93 = 513,474.57 : x
  2. Step 2: Convert to fraction form
    616,498.38/850,214.93 = 513,474.57/x
  3. Step 3: Cross multiply
    616,498.38x = 850,214.93 × 513,474.57
  4. Step 4: Simplify right side
    616,498.38x = 436,563,743,021.96
  5. Step 5: Solve for x
    x = 436,563,743,021.96/616,498.38
  6. Step 6: Final answer
    x = 708,134.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.