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Finding the Fourth Proportional to 411,203.58, 615,847.30 and 399,853.04

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Solution

The fourth proportional to 411,203.58, 615,847.30 and 399,853.04 is: 598,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,203.58 : 615,847.30 = 399,853.04 : x
  2. Step 2: Convert to fraction form
    411,203.58/615,847.30 = 399,853.04/x
  3. Step 3: Cross multiply
    411,203.58x = 615,847.30 × 399,853.04
  4. Step 4: Simplify right side
    411,203.58x = 246,248,415,080.79
  5. Step 5: Solve for x
    x = 246,248,415,080.79/411,203.58
  6. Step 6: Final answer
    x = 598,847.94

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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.