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Finding the Fourth Proportional to 647,083.14, 892,975.59 and 360,596.94

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Solution

The fourth proportional to 647,083.14, 892,975.59 and 360,596.94 is: 497,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,083.14 : 892,975.59 = 360,596.94 : x
  2. Step 2: Convert to fraction form
    647,083.14/892,975.59 = 360,596.94/x
  3. Step 3: Cross multiply
    647,083.14x = 892,975.59 × 360,596.94
  4. Step 4: Simplify right side
    647,083.14x = 322,004,265,248.70
  5. Step 5: Solve for x
    x = 322,004,265,248.70/647,083.14
  6. Step 6: Final answer
    x = 497,624.25

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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.