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Finding the Fourth Proportional to 737,262.56, 1,106,516.16 and 509,425.76

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Solution

The fourth proportional to 737,262.56, 1,106,516.16 and 509,425.76 is: 764,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,262.56 : 1,106,516.16 = 509,425.76 : x
  2. Step 2: Convert to fraction form
    737,262.56/1,106,516.16 = 509,425.76/x
  3. Step 3: Cross multiply
    737,262.56x = 1,106,516.16 × 509,425.76
  4. Step 4: Simplify right side
    737,262.56x = 563,687,835,760.28
  5. Step 5: Solve for x
    x = 563,687,835,760.28/737,262.56
  6. Step 6: Final answer
    x = 764,568.64

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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.