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Finding the Fourth Proportional to 391,025.40, 586,557.30 and 204,401.40

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Solution

The fourth proportional to 391,025.40, 586,557.30 and 204,401.40 is: 306,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,025.40 : 586,557.30 = 204,401.40 : x
  2. Step 2: Convert to fraction form
    391,025.40/586,557.30 = 204,401.40/x
  3. Step 3: Cross multiply
    391,025.40x = 586,557.30 × 204,401.40
  4. Step 4: Simplify right side
    391,025.40x = 119,893,133,300.22
  5. Step 5: Solve for x
    x = 119,893,133,300.22/391,025.40
  6. Step 6: Final answer
    x = 306,612.14

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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.