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Finding the Fourth Proportional to 409,153.57, 564,890.42 and 301,536.16

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Solution

The fourth proportional to 409,153.57, 564,890.42 and 301,536.16 is: 416,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,153.57 : 564,890.42 = 301,536.16 : x
  2. Step 2: Convert to fraction form
    409,153.57/564,890.42 = 301,536.16/x
  3. Step 3: Cross multiply
    409,153.57x = 564,890.42 × 301,536.16
  4. Step 4: Simplify right side
    409,153.57x = 170,334,887,250.88
  5. Step 5: Solve for x
    x = 170,334,887,250.88/409,153.57
  6. Step 6: Final answer
    x = 416,310.41

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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.