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Finding the Fourth Proportional to 497,362.16, 686,442.24 and 293,462.96

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Solution

The fourth proportional to 497,362.16, 686,442.24 and 293,462.96 is: 405,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,362.16 : 686,442.24 = 293,462.96 : x
  2. Step 2: Convert to fraction form
    497,362.16/686,442.24 = 293,462.96/x
  3. Step 3: Cross multiply
    497,362.16x = 686,442.24 × 293,462.96
  4. Step 4: Simplify right side
    497,362.16x = 201,445,371,619.43
  5. Step 5: Solve for x
    x = 201,445,371,619.43/497,362.16
  6. Step 6: Final answer
    x = 405,027.54

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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.