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Finding the Fourth Proportional to 257,218.40, 385,827.60 and 173,237.60

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Solution

The fourth proportional to 257,218.40, 385,827.60 and 173,237.60 is: 259,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,218.40 : 385,827.60 = 173,237.60 : x
  2. Step 2: Convert to fraction form
    257,218.40/385,827.60 = 173,237.60/x
  3. Step 3: Cross multiply
    257,218.40x = 385,827.60 × 173,237.60
  4. Step 4: Simplify right side
    257,218.40x = 66,839,847,437.76
  5. Step 5: Solve for x
    x = 66,839,847,437.76/257,218.40
  6. Step 6: Final answer
    x = 259,856.40

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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.