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Finding the Fourth Proportional to 502,006, 692,773.14 and 275,656.36

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Solution

The fourth proportional to 502,006, 692,773.14 and 275,656.36 is: 380,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,006 : 692,773.14 = 275,656.36 : x
  2. Step 2: Convert to fraction form
    502,006/692,773.14 = 275,656.36/x
  3. Step 3: Cross multiply
    502,006x = 692,773.14 × 275,656.36
  4. Step 4: Simplify right side
    502,006x = 190,967,322,078.17
  5. Step 5: Solve for x
    x = 190,967,322,078.17/502,006
  6. Step 6: Final answer
    x = 380,408.45

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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.