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Finding the Fourth Proportional to 291,986.40, 409,610.40 and 291,986.40

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Solution

The fourth proportional to 291,986.40, 409,610.40 and 291,986.40 is: 409,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,986.40 : 409,610.40 = 291,986.40 : x
  2. Step 2: Convert to fraction form
    291,986.40/409,610.40 = 291,986.40/x
  3. Step 3: Cross multiply
    291,986.40x = 409,610.40 × 291,986.40
  4. Step 4: Simplify right side
    291,986.40x = 119,600,666,098.56
  5. Step 5: Solve for x
    x = 119,600,666,098.56/291,986.40
  6. Step 6: Final answer
    x = 409,610.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.