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Finding the Fourth Proportional to 384,815.40, 577,223.10 and 174,863.40

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Solution

The fourth proportional to 384,815.40, 577,223.10 and 174,863.40 is: 262,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,815.40 : 577,223.10 = 174,863.40 : x
  2. Step 2: Convert to fraction form
    384,815.40/577,223.10 = 174,863.40/x
  3. Step 3: Cross multiply
    384,815.40x = 577,223.10 × 174,863.40
  4. Step 4: Simplify right side
    384,815.40x = 100,935,193,824.54
  5. Step 5: Solve for x
    x = 100,935,193,824.54/384,815.40
  6. Step 6: Final answer
    x = 262,295.10

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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.