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Finding the Fourth Proportional to 321,582.32, 482,767.08 and 308,897.68

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Solution

The fourth proportional to 321,582.32, 482,767.08 and 308,897.68 is: 463,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,582.32 : 482,767.08 = 308,897.68 : x
  2. Step 2: Convert to fraction form
    321,582.32/482,767.08 = 308,897.68/x
  3. Step 3: Cross multiply
    321,582.32x = 482,767.08 × 308,897.68
  4. Step 4: Simplify right side
    321,582.32x = 149,125,630,992.37
  5. Step 5: Solve for x
    x = 149,125,630,992.37/321,582.32
  6. Step 6: Final answer
    x = 463,724.59

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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.