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Finding the Fourth Proportional to 409,809.60, 614,714.40 and 398,145.60

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Solution

The fourth proportional to 409,809.60, 614,714.40 and 398,145.60 is: 597,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,809.60 : 614,714.40 = 398,145.60 : x
  2. Step 2: Convert to fraction form
    409,809.60/614,714.40 = 398,145.60/x
  3. Step 3: Cross multiply
    409,809.60x = 614,714.40 × 398,145.60
  4. Step 4: Simplify right side
    409,809.60x = 244,745,833,616.64
  5. Step 5: Solve for x
    x = 244,745,833,616.64/409,809.60
  6. Step 6: Final answer
    x = 597,218.40

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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.