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Finding the Fourth Proportional to 398,900.80, 596,893.20 and 293,924.80

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Solution

The fourth proportional to 398,900.80, 596,893.20 and 293,924.80 is: 439,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,900.80 : 596,893.20 = 293,924.80 : x
  2. Step 2: Convert to fraction form
    398,900.80/596,893.20 = 293,924.80/x
  3. Step 3: Cross multiply
    398,900.80x = 596,893.20 × 293,924.80
  4. Step 4: Simplify right side
    398,900.80x = 175,441,714,431.36
  5. Step 5: Solve for x
    x = 175,441,714,431.36/398,900.80
  6. Step 6: Final answer
    x = 439,812.89

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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.