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Finding the Fourth Proportional to 589,597.31, 813,647.03 and 334,962.47

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Solution

The fourth proportional to 589,597.31, 813,647.03 and 334,962.47 is: 462,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,597.31 : 813,647.03 = 334,962.47 : x
  2. Step 2: Convert to fraction form
    589,597.31/813,647.03 = 334,962.47/x
  3. Step 3: Cross multiply
    589,597.31x = 813,647.03 × 334,962.47
  4. Step 4: Simplify right side
    589,597.31x = 272,541,213,133.92
  5. Step 5: Solve for x
    x = 272,541,213,133.92/589,597.31
  6. Step 6: Final answer
    x = 462,249.76

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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.