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Finding the Fourth Proportional to 515,296.81, 772,156.95 and 275,444.83

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Solution

The fourth proportional to 515,296.81, 772,156.95 and 275,444.83 is: 412,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,296.81 : 772,156.95 = 275,444.83 : x
  2. Step 2: Convert to fraction form
    515,296.81/772,156.95 = 275,444.83/x
  3. Step 3: Cross multiply
    515,296.81x = 772,156.95 × 275,444.83
  4. Step 4: Simplify right side
    515,296.81x = 212,686,639,826.07
  5. Step 5: Solve for x
    x = 212,686,639,826.07/515,296.81
  6. Step 6: Final answer
    x = 412,745.89

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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.