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Finding the Fourth Proportional to 523,860.81, 781,206.40 and 519,072.09

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Solution

The fourth proportional to 523,860.81, 781,206.40 and 519,072.09 is: 774,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,860.81 : 781,206.40 = 519,072.09 : x
  2. Step 2: Convert to fraction form
    523,860.81/781,206.40 = 519,072.09/x
  3. Step 3: Cross multiply
    523,860.81x = 781,206.40 × 519,072.09
  4. Step 4: Simplify right side
    523,860.81x = 405,502,438,769.38
  5. Step 5: Solve for x
    x = 405,502,438,769.38/523,860.81
  6. Step 6: Final answer
    x = 774,065.23

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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.