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Finding the Fourth Proportional to 437,708.64, 656,562.96 and 105,284.64

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Solution

The fourth proportional to 437,708.64, 656,562.96 and 105,284.64 is: 157,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,708.64 : 656,562.96 = 105,284.64 : x
  2. Step 2: Convert to fraction form
    437,708.64/656,562.96 = 105,284.64/x
  3. Step 3: Cross multiply
    437,708.64x = 656,562.96 × 105,284.64
  4. Step 4: Simplify right side
    437,708.64x = 69,125,994,880.93
  5. Step 5: Solve for x
    x = 69,125,994,880.93/437,708.64
  6. Step 6: Final answer
    x = 157,926.96

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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.