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Finding the Fourth Proportional to 410,954.21, 616,406.70 and 171,007.50

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Solution

The fourth proportional to 410,954.21, 616,406.70 and 171,007.50 is: 256,501.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,954.21 : 616,406.70 = 171,007.50 : x
  2. Step 2: Convert to fraction form
    410,954.21/616,406.70 = 171,007.50/x
  3. Step 3: Cross multiply
    410,954.21x = 616,406.70 × 171,007.50
  4. Step 4: Simplify right side
    410,954.21x = 105,410,168,750.25
  5. Step 5: Solve for x
    x = 105,410,168,750.25/410,954.21
  6. Step 6: Final answer
    x = 256,501.01

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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.