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Finding the Fourth Proportional to 312,732.42, 469,098.77 and 76,073.64

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Solution

The fourth proportional to 312,732.42, 469,098.77 and 76,073.64 is: 114,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,732.42 : 469,098.77 = 76,073.64 : x
  2. Step 2: Convert to fraction form
    312,732.42/469,098.77 = 76,073.64/x
  3. Step 3: Cross multiply
    312,732.42x = 469,098.77 × 76,073.64
  4. Step 4: Simplify right side
    312,732.42x = 35,686,050,573.05
  5. Step 5: Solve for x
    x = 35,686,050,573.05/312,732.42
  6. Step 6: Final answer
    x = 114,110.49

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1.5x scale

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.