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Finding the Fourth Proportional to 417,201.40, 625,364.70 and 164,384.20

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Solution

The fourth proportional to 417,201.40, 625,364.70 and 164,384.20 is: 246,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,201.40 : 625,364.70 = 164,384.20 : x
  2. Step 2: Convert to fraction form
    417,201.40/625,364.70 = 164,384.20/x
  3. Step 3: Cross multiply
    417,201.40x = 625,364.70 × 164,384.20
  4. Step 4: Simplify right side
    417,201.40x = 102,800,075,917.74
  5. Step 5: Solve for x
    x = 102,800,075,917.74/417,201.40
  6. Step 6: Final answer
    x = 246,403.96

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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.