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Finding the Fourth Proportional to 410,077.52, 566,139.48 and 266,765.84

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Solution

The fourth proportional to 410,077.52, 566,139.48 and 266,765.84 is: 368,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,077.52 : 566,139.48 = 266,765.84 : x
  2. Step 2: Convert to fraction form
    410,077.52/566,139.48 = 266,765.84/x
  3. Step 3: Cross multiply
    410,077.52x = 566,139.48 × 266,765.84
  4. Step 4: Simplify right side
    410,077.52x = 151,026,673,939.36
  5. Step 5: Solve for x
    x = 151,026,673,939.36/410,077.52
  6. Step 6: Final answer
    x = 368,288.11

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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.