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Finding the Fourth Proportional to 708,257.63, 977,367.06 and 385,960.80

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Solution

The fourth proportional to 708,257.63, 977,367.06 and 385,960.80 is: 532,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,257.63 : 977,367.06 = 385,960.80 : x
  2. Step 2: Convert to fraction form
    708,257.63/977,367.06 = 385,960.80/x
  3. Step 3: Cross multiply
    708,257.63x = 977,367.06 × 385,960.80
  4. Step 4: Simplify right side
    708,257.63x = 377,225,372,371.25
  5. Step 5: Solve for x
    x = 377,225,372,371.25/708,257.63
  6. Step 6: Final answer
    x = 532,610.39

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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.