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Finding the Fourth Proportional to 521,594.24, 719,747.52 and 295,200.32

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Solution

The fourth proportional to 521,594.24, 719,747.52 and 295,200.32 is: 407,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,594.24 : 719,747.52 = 295,200.32 : x
  2. Step 2: Convert to fraction form
    521,594.24/719,747.52 = 295,200.32/x
  3. Step 3: Cross multiply
    521,594.24x = 719,747.52 × 295,200.32
  4. Step 4: Simplify right side
    521,594.24x = 212,469,698,223.21
  5. Step 5: Solve for x
    x = 212,469,698,223.21/521,594.24
  6. Step 6: Final answer
    x = 407,346.71

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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.