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Finding the Fourth Proportional to 410,087.52, 566,153.28 and 266,775.84

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Solution

The fourth proportional to 410,087.52, 566,153.28 and 266,775.84 is: 368,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,087.52 : 566,153.28 = 266,775.84 : x
  2. Step 2: Convert to fraction form
    410,087.52/566,153.28 = 266,775.84/x
  3. Step 3: Cross multiply
    410,087.52x = 566,153.28 × 266,775.84
  4. Step 4: Simplify right side
    410,087.52x = 151,036,016,840.76
  5. Step 5: Solve for x
    x = 151,036,016,840.76/410,087.52
  6. Step 6: Final answer
    x = 368,301.91

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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.