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Finding the Fourth Proportional to 412,376.32, 569,400.96 and 316,731.52

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Solution

The fourth proportional to 412,376.32, 569,400.96 and 316,731.52 is: 437,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,376.32 : 569,400.96 = 316,731.52 : x
  2. Step 2: Convert to fraction form
    412,376.32/569,400.96 = 316,731.52/x
  3. Step 3: Cross multiply
    412,376.32x = 569,400.96 × 316,731.52
  4. Step 4: Simplify right side
    412,376.32x = 180,347,231,550.26
  5. Step 5: Solve for x
    x = 180,347,231,550.26/412,376.32
  6. Step 6: Final answer
    x = 437,336.54

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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.