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Finding the Fourth Proportional to 410,889.06, 567,028.08 and 229,607.82

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Solution

The fourth proportional to 410,889.06, 567,028.08 and 229,607.82 is: 316,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,889.06 : 567,028.08 = 229,607.82 : x
  2. Step 2: Convert to fraction form
    410,889.06/567,028.08 = 229,607.82/x
  3. Step 3: Cross multiply
    410,889.06x = 567,028.08 × 229,607.82
  4. Step 4: Simplify right side
    410,889.06x = 130,194,081,327.59
  5. Step 5: Solve for x
    x = 130,194,081,327.59/410,889.06
  6. Step 6: Final answer
    x = 316,859.45

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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.