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Finding the Fourth Proportional to 537,346.60, 741,538.32 and 295,624

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Solution

The fourth proportional to 537,346.60, 741,538.32 and 295,624 is: 407,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,346.60 : 741,538.32 = 295,624 : x
  2. Step 2: Convert to fraction form
    537,346.60/741,538.32 = 295,624/x
  3. Step 3: Cross multiply
    537,346.60x = 741,538.32 × 295,624
  4. Step 4: Simplify right side
    537,346.60x = 219,216,524,311.68
  5. Step 5: Solve for x
    x = 219,216,524,311.68/537,346.60
  6. Step 6: Final answer
    x = 407,961.13

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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.