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Finding the Fourth Proportional to 417,664.40, 626,059.20 and 164,847.20

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Solution

The fourth proportional to 417,664.40, 626,059.20 and 164,847.20 is: 247,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,664.40 : 626,059.20 = 164,847.20 : x
  2. Step 2: Convert to fraction form
    417,664.40/626,059.20 = 164,847.20/x
  3. Step 3: Cross multiply
    417,664.40x = 626,059.20 × 164,847.20
  4. Step 4: Simplify right side
    417,664.40x = 103,204,106,154.24
  5. Step 5: Solve for x
    x = 103,204,106,154.24/417,664.40
  6. Step 6: Final answer
    x = 247,098.16

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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.