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Finding the Fourth Proportional to 609,143.86, 913,676.88 and 188,384.50

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Solution

The fourth proportional to 609,143.86, 913,676.88 and 188,384.50 is: 282,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,143.86 : 913,676.88 = 188,384.50 : x
  2. Step 2: Convert to fraction form
    609,143.86/913,676.88 = 188,384.50/x
  3. Step 3: Cross multiply
    609,143.86x = 913,676.88 × 188,384.50
  4. Step 4: Simplify right side
    609,143.86x = 172,122,562,200.36
  5. Step 5: Solve for x
    x = 172,122,562,200.36/609,143.86
  6. Step 6: Final answer
    x = 282,564.72

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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.