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Finding the Fourth Proportional to 407,714.60, 611,571.90 and 401,809.70

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Solution

The fourth proportional to 407,714.60, 611,571.90 and 401,809.70 is: 602,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,714.60 : 611,571.90 = 401,809.70 : x
  2. Step 2: Convert to fraction form
    407,714.60/611,571.90 = 401,809.70/x
  3. Step 3: Cross multiply
    407,714.60x = 611,571.90 × 401,809.70
  4. Step 4: Simplify right side
    407,714.60x = 245,735,521,667.43
  5. Step 5: Solve for x
    x = 245,735,521,667.43/407,714.60
  6. Step 6: Final answer
    x = 602,714.55

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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.