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Finding the Fourth Proportional to 385,187.85, 577,308.54 and 216,353.27

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Solution

The fourth proportional to 385,187.85, 577,308.54 and 216,353.27 is: 324,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,187.85 : 577,308.54 = 216,353.27 : x
  2. Step 2: Convert to fraction form
    385,187.85/577,308.54 = 216,353.27/x
  3. Step 3: Cross multiply
    385,187.85x = 577,308.54 × 216,353.27
  4. Step 4: Simplify right side
    385,187.85x = 124,902,591,465.54
  5. Step 5: Solve for x
    x = 124,902,591,465.54/385,187.85
  6. Step 6: Final answer
    x = 324,264.10

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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.