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Finding the Fourth Proportional to 256,871.60, 385,307.40 and 251,622.80

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Solution

The fourth proportional to 256,871.60, 385,307.40 and 251,622.80 is: 377,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,871.60 : 385,307.40 = 251,622.80 : x
  2. Step 2: Convert to fraction form
    256,871.60/385,307.40 = 251,622.80/x
  3. Step 3: Cross multiply
    256,871.60x = 385,307.40 × 251,622.80
  4. Step 4: Simplify right side
    256,871.60x = 96,952,126,848.72
  5. Step 5: Solve for x
    x = 96,952,126,848.72/256,871.60
  6. Step 6: Final answer
    x = 377,434.20

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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.