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Finding the Fourth Proportional to 257,615.40, 385,904.70 and 173,634.60

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Solution

The fourth proportional to 257,615.40, 385,904.70 and 173,634.60 is: 260,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,615.40 : 385,904.70 = 173,634.60 : x
  2. Step 2: Convert to fraction form
    257,615.40/385,904.70 = 173,634.60/x
  3. Step 3: Cross multiply
    257,615.40x = 385,904.70 × 173,634.60
  4. Step 4: Simplify right side
    257,615.40x = 67,006,408,222.62
  5. Step 5: Solve for x
    x = 67,006,408,222.62/257,615.40
  6. Step 6: Final answer
    x = 260,102.49

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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.