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Finding the Fourth Proportional to 385,193.46, 577,316.96 and 216,358.88

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Solution

The fourth proportional to 385,193.46, 577,316.96 and 216,358.88 is: 324,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,193.46 : 577,316.96 = 216,358.88 : x
  2. Step 2: Convert to fraction form
    385,193.46/577,316.96 = 216,358.88/x
  3. Step 3: Cross multiply
    385,193.46x = 577,316.96 × 216,358.88
  4. Step 4: Simplify right side
    385,193.46x = 124,907,646,902.23
  5. Step 5: Solve for x
    x = 124,907,646,902.23/385,193.46
  6. Step 6: Final answer
    x = 324,272.50

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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.