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Finding the Fourth Proportional to 303,523.14, 455,306.76 and 116,534.64

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Solution

The fourth proportional to 303,523.14, 455,306.76 and 116,534.64 is: 174,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,523.14 : 455,306.76 = 116,534.64 : x
  2. Step 2: Convert to fraction form
    303,523.14/455,306.76 = 116,534.64/x
  3. Step 3: Cross multiply
    303,523.14x = 455,306.76 × 116,534.64
  4. Step 4: Simplify right side
    303,523.14x = 53,059,009,366.17
  5. Step 5: Solve for x
    x = 53,059,009,366.17/303,523.14
  6. Step 6: Final answer
    x = 174,810.43

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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.