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Finding the Fourth Proportional to 522,125.76, 720,649.44 and 295,896

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Solution

The fourth proportional to 522,125.76, 720,649.44 and 295,896 is: 408,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,125.76 : 720,649.44 = 295,896 : x
  2. Step 2: Convert to fraction form
    522,125.76/720,649.44 = 295,896/x
  3. Step 3: Cross multiply
    522,125.76x = 720,649.44 × 295,896
  4. Step 4: Simplify right side
    522,125.76x = 213,237,286,698.24
  5. Step 5: Solve for x
    x = 213,237,286,698.24/522,125.76
  6. Step 6: Final answer
    x = 408,402.16

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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.