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Finding the Fourth Proportional to 285,511.40, 427,748.70 and 174,573.80

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Solution

The fourth proportional to 285,511.40, 427,748.70 and 174,573.80 is: 261,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,511.40 : 427,748.70 = 174,573.80 : x
  2. Step 2: Convert to fraction form
    285,511.40/427,748.70 = 174,573.80/x
  3. Step 3: Cross multiply
    285,511.40x = 427,748.70 × 174,573.80
  4. Step 4: Simplify right side
    285,511.40x = 74,673,716,004.06
  5. Step 5: Solve for x
    x = 74,673,716,004.06/285,511.40
  6. Step 6: Final answer
    x = 261,543.73

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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.