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Finding the Fourth Proportional to 593,864, 888,564 and 416,716.64

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Solution

The fourth proportional to 593,864, 888,564 and 416,716.64 is: 623,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,864 : 888,564 = 416,716.64 : x
  2. Step 2: Convert to fraction form
    593,864/888,564 = 416,716.64/x
  3. Step 3: Cross multiply
    593,864x = 888,564 × 416,716.64
  4. Step 4: Simplify right side
    593,864x = 370,279,404,504.96
  5. Step 5: Solve for x
    x = 370,279,404,504.96/593,864
  6. Step 6: Final answer
    x = 623,508.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.