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Finding the Fourth Proportional to 519,888.05, 779,897.81 and 178,398

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Solution

The fourth proportional to 519,888.05, 779,897.81 and 178,398 is: 267,619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,888.05 : 779,897.81 = 178,398 : x
  2. Step 2: Convert to fraction form
    519,888.05/779,897.81 = 178,398/x
  3. Step 3: Cross multiply
    519,888.05x = 779,897.81 × 178,398
  4. Step 4: Simplify right side
    519,888.05x = 139,132,209,954.38
  5. Step 5: Solve for x
    x = 139,132,209,954.38/519,888.05
  6. Step 6: Final answer
    x = 267,619.56

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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.