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Finding the Fourth Proportional to 537,291.14, 741,438.35 and 295,558.38

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Solution

The fourth proportional to 537,291.14, 741,438.35 and 295,558.38 is: 407,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,291.14 : 741,438.35 = 295,558.38 : x
  2. Step 2: Convert to fraction form
    537,291.14/741,438.35 = 295,558.38/x
  3. Step 3: Cross multiply
    537,291.14x = 741,438.35 × 295,558.38
  4. Step 4: Simplify right side
    537,291.14x = 219,138,317,595.87
  5. Step 5: Solve for x
    x = 219,138,317,595.87/537,291.14
  6. Step 6: Final answer
    x = 407,857.68

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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.