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Finding the Fourth Proportional to 416,714.33, 575,068.54 and 225,727.72

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Solution

The fourth proportional to 416,714.33, 575,068.54 and 225,727.72 is: 311,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,714.33 : 575,068.54 = 225,727.72 : x
  2. Step 2: Convert to fraction form
    416,714.33/575,068.54 = 225,727.72/x
  3. Step 3: Cross multiply
    416,714.33x = 575,068.54 × 225,727.72
  4. Step 4: Simplify right side
    416,714.33x = 129,808,910,377.93
  5. Step 5: Solve for x
    x = 129,808,910,377.93/416,714.33
  6. Step 6: Final answer
    x = 311,505.75

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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.