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Finding the Fourth Proportional to 416,714.09, 575,064.87 and 225,728.24

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Solution

The fourth proportional to 416,714.09, 575,064.87 and 225,728.24 is: 311,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,714.09 : 575,064.87 = 225,728.24 : x
  2. Step 2: Convert to fraction form
    416,714.09/575,064.87 = 225,728.24/x
  3. Step 3: Cross multiply
    416,714.09x = 575,064.87 × 225,728.24
  4. Step 4: Simplify right side
    416,714.09x = 129,808,380,990.93
  5. Step 5: Solve for x
    x = 129,808,380,990.93/416,714.09
  6. Step 6: Final answer
    x = 311,504.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.