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Finding the Fourth Proportional to 413,364.87, 570,402.41 and 252,259.52

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Solution

The fourth proportional to 413,364.87, 570,402.41 and 252,259.52 is: 348,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,364.87 : 570,402.41 = 252,259.52 : x
  2. Step 2: Convert to fraction form
    413,364.87/570,402.41 = 252,259.52/x
  3. Step 3: Cross multiply
    413,364.87x = 570,402.41 × 252,259.52
  4. Step 4: Simplify right side
    413,364.87x = 143,889,434,040.13
  5. Step 5: Solve for x
    x = 143,889,434,040.13/413,364.87
  6. Step 6: Final answer
    x = 348,093.04

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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.