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Finding the Fourth Proportional to 580,076.94, 870,102.03 and 341,703

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Solution

The fourth proportional to 580,076.94, 870,102.03 and 341,703 is: 512,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,076.94 : 870,102.03 = 341,703 : x
  2. Step 2: Convert to fraction form
    580,076.94/870,102.03 = 341,703/x
  3. Step 3: Cross multiply
    580,076.94x = 870,102.03 × 341,703
  4. Step 4: Simplify right side
    580,076.94x = 297,316,473,957.09
  5. Step 5: Solve for x
    x = 297,316,473,957.09/580,076.94
  6. Step 6: Final answer
    x = 512,546.62

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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.