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Finding the Fourth Proportional to 354,908.10, 532,362.15 and 254,856.90

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Solution

The fourth proportional to 354,908.10, 532,362.15 and 254,856.90 is: 382,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,908.10 : 532,362.15 = 254,856.90 : x
  2. Step 2: Convert to fraction form
    354,908.10/532,362.15 = 254,856.90/x
  3. Step 3: Cross multiply
    354,908.10x = 532,362.15 × 254,856.90
  4. Step 4: Simplify right side
    354,908.10x = 135,676,167,226.34
  5. Step 5: Solve for x
    x = 135,676,167,226.34/354,908.10
  6. Step 6: Final answer
    x = 382,285.35

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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.