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Finding the Fourth Proportional to 978,832.80, 1,468,784.16 and 379,817.46

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Solution

The fourth proportional to 978,832.80, 1,468,784.16 and 379,817.46 is: 569,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,832.80 : 1,468,784.16 = 379,817.46 : x
  2. Step 2: Convert to fraction form
    978,832.80/1,468,784.16 = 379,817.46/x
  3. Step 3: Cross multiply
    978,832.80x = 1,468,784.16 × 379,817.46
  4. Step 4: Simplify right side
    978,832.80x = 557,869,868,939.43
  5. Step 5: Solve for x
    x = 557,869,868,939.43/978,832.80
  6. Step 6: Final answer
    x = 569,933.77

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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.