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Finding the Fourth Proportional to 417,633.40, 626,012.70 and 164,816.20

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Solution

The fourth proportional to 417,633.40, 626,012.70 and 164,816.20 is: 247,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,633.40 : 626,012.70 = 164,816.20 : x
  2. Step 2: Convert to fraction form
    417,633.40/626,012.70 = 164,816.20/x
  3. Step 3: Cross multiply
    417,633.40x = 626,012.70 × 164,816.20
  4. Step 4: Simplify right side
    417,633.40x = 103,177,034,365.74
  5. Step 5: Solve for x
    x = 103,177,034,365.74/417,633.40
  6. Step 6: Final answer
    x = 247,051.68

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1.5x scale

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.