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Finding the Fourth Proportional to 534,116, 737,080.08 and 295,652

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Solution

The fourth proportional to 534,116, 737,080.08 and 295,652 is: 407,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,116 : 737,080.08 = 295,652 : x
  2. Step 2: Convert to fraction form
    534,116/737,080.08 = 295,652/x
  3. Step 3: Cross multiply
    534,116x = 737,080.08 × 295,652
  4. Step 4: Simplify right side
    534,116x = 217,919,199,812.16
  5. Step 5: Solve for x
    x = 217,919,199,812.16/534,116
  6. Step 6: Final answer
    x = 407,999.76

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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.