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Finding the Fourth Proportional to 580,212.91, 866,348.54 and 519,851.71

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Solution

The fourth proportional to 580,212.91, 866,348.54 and 519,851.71 is: 776,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,212.91 : 866,348.54 = 519,851.71 : x
  2. Step 2: Convert to fraction form
    580,212.91/866,348.54 = 519,851.71/x
  3. Step 3: Cross multiply
    580,212.91x = 866,348.54 × 519,851.71
  4. Step 4: Simplify right side
    580,212.91x = 450,372,769,975.00
  5. Step 5: Solve for x
    x = 450,372,769,975.00/580,212.91
  6. Step 6: Final answer
    x = 776,219.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.