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Finding the Fourth Proportional to 413,999.68, 620,999.44 and 177,188.80

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Solution

The fourth proportional to 413,999.68, 620,999.44 and 177,188.80 is: 265,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,999.68 : 620,999.44 = 177,188.80 : x
  2. Step 2: Convert to fraction form
    413,999.68/620,999.44 = 177,188.80/x
  3. Step 3: Cross multiply
    413,999.68x = 620,999.44 × 177,188.80
  4. Step 4: Simplify right side
    413,999.68x = 110,034,145,574.27
  5. Step 5: Solve for x
    x = 110,034,145,574.27/413,999.68
  6. Step 6: Final answer
    x = 265,783.17

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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.