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Finding the Fourth Proportional to 413,717.36, 620,563.69 and 114,216.22

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Solution

The fourth proportional to 413,717.36, 620,563.69 and 114,216.22 is: 171,320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,717.36 : 620,563.69 = 114,216.22 : x
  2. Step 2: Convert to fraction form
    413,717.36/620,563.69 = 114,216.22/x
  3. Step 3: Cross multiply
    413,717.36x = 620,563.69 × 114,216.22
  4. Step 4: Simplify right side
    413,717.36x = 70,878,437,104.10
  5. Step 5: Solve for x
    x = 70,878,437,104.10/413,717.36
  6. Step 6: Final answer
    x = 171,320.92

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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.