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Finding the Fourth Proportional to 413,733.44, 620,587.76 and 114,232.32

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Solution

The fourth proportional to 413,733.44, 620,587.76 and 114,232.32 is: 171,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,733.44 : 620,587.76 = 114,232.32 : x
  2. Step 2: Convert to fraction form
    413,733.44/620,587.76 = 114,232.32/x
  3. Step 3: Cross multiply
    413,733.44x = 620,587.76 × 114,232.32
  4. Step 4: Simplify right side
    413,733.44x = 70,891,179,588.40
  5. Step 5: Solve for x
    x = 70,891,179,588.40/413,733.44
  6. Step 6: Final answer
    x = 171,345.06

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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.