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Finding the Fourth Proportional to 375,180.84, 517,749.75 and 205,415.01

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Solution

The fourth proportional to 375,180.84, 517,749.75 and 205,415.01 is: 283,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,180.84 : 517,749.75 = 205,415.01 : x
  2. Step 2: Convert to fraction form
    375,180.84/517,749.75 = 205,415.01/x
  3. Step 3: Cross multiply
    375,180.84x = 517,749.75 × 205,415.01
  4. Step 4: Simplify right side
    375,180.84x = 106,353,570,073.75
  5. Step 5: Solve for x
    x = 106,353,570,073.75/375,180.84
  6. Step 6: Final answer
    x = 283,472.82

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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.