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Finding the Fourth Proportional to 306,241.84, 459,456.01 and 156,587.25

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Solution

The fourth proportional to 306,241.84, 459,456.01 and 156,587.25 is: 234,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,241.84 : 459,456.01 = 156,587.25 : x
  2. Step 2: Convert to fraction form
    306,241.84/459,456.01 = 156,587.25/x
  3. Step 3: Cross multiply
    306,241.84x = 459,456.01 × 156,587.25
  4. Step 4: Simplify right side
    306,241.84x = 71,944,953,101.87
  5. Step 5: Solve for x
    x = 71,944,953,101.87/306,241.84
  6. Step 6: Final answer
    x = 234,928.56

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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.