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Finding the Fourth Proportional to 694,395.68, 958,257.42 and 407,941.88

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Solution

The fourth proportional to 694,395.68, 958,257.42 and 407,941.88 is: 562,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,395.68 : 958,257.42 = 407,941.88 : x
  2. Step 2: Convert to fraction form
    694,395.68/958,257.42 = 407,941.88/x
  3. Step 3: Cross multiply
    694,395.68x = 958,257.42 × 407,941.88
  4. Step 4: Simplify right side
    694,395.68x = 390,913,333,438.75
  5. Step 5: Solve for x
    x = 390,913,333,438.75/694,395.68
  6. Step 6: Final answer
    x = 562,954.73

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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.