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Finding the Fourth Proportional to 430,841, 594,173.50 and 269,710.72

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Solution

The fourth proportional to 430,841, 594,173.50 and 269,710.72 is: 371,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,841 : 594,173.50 = 269,710.72 : x
  2. Step 2: Convert to fraction form
    430,841/594,173.50 = 269,710.72/x
  3. Step 3: Cross multiply
    430,841x = 594,173.50 × 269,710.72
  4. Step 4: Simplify right side
    430,841x = 160,254,962,489.92
  5. Step 5: Solve for x
    x = 160,254,962,489.92/430,841
  6. Step 6: Final answer
    x = 371,958.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.