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Finding the Fourth Proportional to 501,943.72, 692,683.52 and 275,603.80

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Solution

The fourth proportional to 501,943.72, 692,683.52 and 275,603.80 is: 380,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,943.72 : 692,683.52 = 275,603.80 : x
  2. Step 2: Convert to fraction form
    501,943.72/692,683.52 = 275,603.80/x
  3. Step 3: Cross multiply
    501,943.72x = 692,683.52 × 275,603.80
  4. Step 4: Simplify right side
    501,943.72x = 190,906,210,309.38
  5. Step 5: Solve for x
    x = 190,906,210,309.38/501,943.72
  6. Step 6: Final answer
    x = 380,333.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.