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Finding the Fourth Proportional to 409,415.99, 614,039.24 and 109,825.34

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Solution

The fourth proportional to 409,415.99, 614,039.24 and 109,825.34 is: 164,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,415.99 : 614,039.24 = 109,825.34 : x
  2. Step 2: Convert to fraction form
    409,415.99/614,039.24 = 109,825.34/x
  3. Step 3: Cross multiply
    409,415.99x = 614,039.24 × 109,825.34
  4. Step 4: Simplify right side
    409,415.99x = 67,437,064,687.02
  5. Step 5: Solve for x
    x = 67,437,064,687.02/409,415.99
  6. Step 6: Final answer
    x = 164,715.27

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1.5x scale

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.