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Finding the Fourth Proportional to 589,611.92, 813,667.14 and 334,977.08

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Solution

The fourth proportional to 589,611.92, 813,667.14 and 334,977.08 is: 462,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,611.92 : 813,667.14 = 334,977.08 : x
  2. Step 2: Convert to fraction form
    589,611.92/813,667.14 = 334,977.08/x
  3. Step 3: Cross multiply
    589,611.92x = 813,667.14 × 334,977.08
  4. Step 4: Simplify right side
    589,611.92x = 272,559,842,649.15
  5. Step 5: Solve for x
    x = 272,559,842,649.15/589,611.92
  6. Step 6: Final answer
    x = 462,269.90

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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.