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Finding the Fourth Proportional to 385,205.80, 577,808.70 and 259,234.60

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Solution

The fourth proportional to 385,205.80, 577,808.70 and 259,234.60 is: 388,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,205.80 : 577,808.70 = 259,234.60 : x
  2. Step 2: Convert to fraction form
    385,205.80/577,808.70 = 259,234.60/x
  3. Step 3: Cross multiply
    385,205.80x = 577,808.70 × 259,234.60
  4. Step 4: Simplify right side
    385,205.80x = 149,788,007,221.02
  5. Step 5: Solve for x
    x = 149,788,007,221.02/385,205.80
  6. Step 6: Final answer
    x = 388,851.90

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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.