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Finding the Fourth Proportional to 708,138.06, 977,218.14 and 385,850.82

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Solution

The fourth proportional to 708,138.06, 977,218.14 and 385,850.82 is: 532,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,138.06 : 977,218.14 = 385,850.82 : x
  2. Step 2: Convert to fraction form
    708,138.06/977,218.14 = 385,850.82/x
  3. Step 3: Cross multiply
    708,138.06x = 977,218.14 × 385,850.82
  4. Step 4: Simplify right side
    708,138.06x = 377,060,420,637.88
  5. Step 5: Solve for x
    x = 377,060,420,637.88/708,138.06
  6. Step 6: Final answer
    x = 532,467.38

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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.