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Finding the Fourth Proportional to 589,596.81, 813,646.34 and 334,961.97

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Solution

The fourth proportional to 589,596.81, 813,646.34 and 334,961.97 is: 462,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,596.81 : 813,646.34 = 334,961.97 : x
  2. Step 2: Convert to fraction form
    589,596.81/813,646.34 = 334,961.97/x
  3. Step 3: Cross multiply
    589,596.81x = 813,646.34 × 334,961.97
  4. Step 4: Simplify right side
    589,596.81x = 272,540,580,929.69
  5. Step 5: Solve for x
    x = 272,540,580,929.69/589,596.81
  6. Step 6: Final answer
    x = 462,249.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.