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Finding the Fourth Proportional to 385,252.80, 577,879.20 and 259,281.60

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Solution

The fourth proportional to 385,252.80, 577,879.20 and 259,281.60 is: 388,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,252.80 : 577,879.20 = 259,281.60 : x
  2. Step 2: Convert to fraction form
    385,252.80/577,879.20 = 259,281.60/x
  3. Step 3: Cross multiply
    385,252.80x = 577,879.20 × 259,281.60
  4. Step 4: Simplify right side
    385,252.80x = 149,833,443,582.72
  5. Step 5: Solve for x
    x = 149,833,443,582.72/385,252.80
  6. Step 6: Final answer
    x = 388,922.40

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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.