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Finding the Fourth Proportional to 411,204.58, 615,848.80 and 399,854.04

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Solution

The fourth proportional to 411,204.58, 615,848.80 and 399,854.04 is: 598,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,204.58 : 615,848.80 = 399,854.04 : x
  2. Step 2: Convert to fraction form
    411,204.58/615,848.80 = 399,854.04/x
  3. Step 3: Cross multiply
    411,204.58x = 615,848.80 × 399,854.04
  4. Step 4: Simplify right side
    411,204.58x = 246,249,630,709.15
  5. Step 5: Solve for x
    x = 246,249,630,709.15/411,204.58
  6. Step 6: Final answer
    x = 598,849.44

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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.