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Finding the Fourth Proportional to 406,038.89, 608,848.47 and 178,241.27

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Solution

The fourth proportional to 406,038.89, 608,848.47 and 178,241.27 is: 267,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,038.89 : 608,848.47 = 178,241.27 : x
  2. Step 2: Convert to fraction form
    406,038.89/608,848.47 = 178,241.27/x
  3. Step 3: Cross multiply
    406,038.89x = 608,848.47 × 178,241.27
  4. Step 4: Simplify right side
    406,038.89x = 108,521,924,530.36
  5. Step 5: Solve for x
    x = 108,521,924,530.36/406,038.89
  6. Step 6: Final answer
    x = 267,269.78

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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.