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Finding the Fourth Proportional to 385,882.12, 577,889.98 and 333,627.40

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Solution

The fourth proportional to 385,882.12, 577,889.98 and 333,627.40 is: 499,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,882.12 : 577,889.98 = 333,627.40 : x
  2. Step 2: Convert to fraction form
    385,882.12/577,889.98 = 333,627.40/x
  3. Step 3: Cross multiply
    385,882.12x = 577,889.98 × 333,627.40
  4. Step 4: Simplify right side
    385,882.12x = 192,799,931,513.45
  5. Step 5: Solve for x
    x = 192,799,931,513.45/385,882.12
  6. Step 6: Final answer
    x = 499,634.27

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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.