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Finding the Fourth Proportional to 461,406.80, 636,632.36 and 260,163.92

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Solution

The fourth proportional to 461,406.80, 636,632.36 and 260,163.92 is: 358,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,406.80 : 636,632.36 = 260,163.92 : x
  2. Step 2: Convert to fraction form
    461,406.80/636,632.36 = 260,163.92/x
  3. Step 3: Cross multiply
    461,406.80x = 636,632.36 × 260,163.92
  4. Step 4: Simplify right side
    461,406.80x = 165,628,770,376.45
  5. Step 5: Solve for x
    x = 165,628,770,376.45/461,406.80
  6. Step 6: Final answer
    x = 358,964.74

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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.