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Finding the Fourth Proportional to 410,639.36, 615,852.11 and 173,860.16

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Solution

The fourth proportional to 410,639.36, 615,852.11 and 173,860.16 is: 260,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,639.36 : 615,852.11 = 173,860.16 : x
  2. Step 2: Convert to fraction form
    410,639.36/615,852.11 = 173,860.16/x
  3. Step 3: Cross multiply
    410,639.36x = 615,852.11 × 173,860.16
  4. Step 4: Simplify right side
    410,639.36x = 107,072,143,736.33
  5. Step 5: Solve for x
    x = 107,072,143,736.33/410,639.36
  6. Step 6: Final answer
    x = 260,744.96

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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.