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Finding the Fourth Proportional to 397,632.94, 596,823.12 and 208,229.20

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Solution

The fourth proportional to 397,632.94, 596,823.12 and 208,229.20 is: 312,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,632.94 : 596,823.12 = 208,229.20 : x
  2. Step 2: Convert to fraction form
    397,632.94/596,823.12 = 208,229.20/x
  3. Step 3: Cross multiply
    397,632.94x = 596,823.12 × 208,229.20
  4. Step 4: Simplify right side
    397,632.94x = 124,276,000,819.10
  5. Step 5: Solve for x
    x = 124,276,000,819.10/397,632.94
  6. Step 6: Final answer
    x = 312,539.50

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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.