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Finding the Fourth Proportional to 385,233.60, 577,677.60 and 148,497.60

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Solution

The fourth proportional to 385,233.60, 577,677.60 and 148,497.60 is: 222,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,233.60 : 577,677.60 = 148,497.60 : x
  2. Step 2: Convert to fraction form
    385,233.60/577,677.60 = 148,497.60/x
  3. Step 3: Cross multiply
    385,233.60x = 577,677.60 × 148,497.60
  4. Step 4: Simplify right side
    385,233.60x = 85,783,737,173.76
  5. Step 5: Solve for x
    x = 85,783,737,173.76/385,233.60
  6. Step 6: Final answer
    x = 222,679.79

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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.