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Finding the Fourth Proportional to 537,457.86, 741,709.44 and 295,757.91

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Solution

The fourth proportional to 537,457.86, 741,709.44 and 295,757.91 is: 408,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,457.86 : 741,709.44 = 295,757.91 : x
  2. Step 2: Convert to fraction form
    537,457.86/741,709.44 = 295,757.91/x
  3. Step 3: Cross multiply
    537,457.86x = 741,709.44 × 295,757.91
  4. Step 4: Simplify right side
    537,457.86x = 219,366,433,801.67
  5. Step 5: Solve for x
    x = 219,366,433,801.67/537,457.86
  6. Step 6: Final answer
    x = 408,155.60

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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.