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Finding the Fourth Proportional to 416,714.72, 575,065.73 and 225,728.87

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Solution

The fourth proportional to 416,714.72, 575,065.73 and 225,728.87 is: 311,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,714.72 : 575,065.73 = 225,728.87 : x
  2. Step 2: Convert to fraction form
    416,714.72/575,065.73 = 225,728.87/x
  3. Step 3: Cross multiply
    416,714.72x = 575,065.73 × 225,728.87
  4. Step 4: Simplify right side
    416,714.72x = 129,808,935,097.62
  5. Step 5: Solve for x
    x = 129,808,935,097.62/416,714.72
  6. Step 6: Final answer
    x = 311,505.52

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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.