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Finding the Fourth Proportional to 341,296.20, 512,235.90 and 152,047.80

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Solution

The fourth proportional to 341,296.20, 512,235.90 and 152,047.80 is: 228,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,296.20 : 512,235.90 = 152,047.80 : x
  2. Step 2: Convert to fraction form
    341,296.20/512,235.90 = 152,047.80/x
  3. Step 3: Cross multiply
    341,296.20x = 512,235.90 × 152,047.80
  4. Step 4: Simplify right side
    341,296.20x = 77,884,341,676.02
  5. Step 5: Solve for x
    x = 77,884,341,676.02/341,296.20
  6. Step 6: Final answer
    x = 228,201.61

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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.