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Finding the Fourth Proportional to 417,251.16, 626,133.72 and 164,488.64

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Solution

The fourth proportional to 417,251.16, 626,133.72 and 164,488.64 is: 246,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,251.16 : 626,133.72 = 164,488.64 : x
  2. Step 2: Convert to fraction form
    417,251.16/626,133.72 = 164,488.64/x
  3. Step 3: Cross multiply
    417,251.16x = 626,133.72 × 164,488.64
  4. Step 4: Simplify right side
    417,251.16x = 102,991,884,060.94
  5. Step 5: Solve for x
    x = 102,991,884,060.94/417,251.16
  6. Step 6: Final answer
    x = 246,834.27

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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.