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Finding the Fourth Proportional to 413,264.32, 570,286.08 and 252,093.76

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Solution

The fourth proportional to 413,264.32, 570,286.08 and 252,093.76 is: 347,877.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,264.32 : 570,286.08 = 252,093.76 : x
  2. Step 2: Convert to fraction form
    413,264.32/570,286.08 = 252,093.76/x
  3. Step 3: Cross multiply
    413,264.32x = 570,286.08 × 252,093.76
  4. Step 4: Simplify right side
    413,264.32x = 143,765,562,182.86
  5. Step 5: Solve for x
    x = 143,765,562,182.86/413,264.32
  6. Step 6: Final answer
    x = 347,877.99

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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.