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Finding the Fourth Proportional to 415,417.17, 622,876.60 and 190,495.84

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Solution

The fourth proportional to 415,417.17, 622,876.60 and 190,495.84 is: 285,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,417.17 : 622,876.60 = 190,495.84 : x
  2. Step 2: Convert to fraction form
    415,417.17/622,876.60 = 190,495.84/x
  3. Step 3: Cross multiply
    415,417.17x = 622,876.60 × 190,495.84
  4. Step 4: Simplify right side
    415,417.17x = 118,655,401,133.34
  5. Step 5: Solve for x
    x = 118,655,401,133.34/415,417.17
  6. Step 6: Final answer
    x = 285,629.51

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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.