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Finding the Fourth Proportional to 416,523.86, 574,802.08 and 225,537.81

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Solution

The fourth proportional to 416,523.86, 574,802.08 and 225,537.81 is: 311,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,523.86 : 574,802.08 = 225,537.81 : x
  2. Step 2: Convert to fraction form
    416,523.86/574,802.08 = 225,537.81/x
  3. Step 3: Cross multiply
    416,523.86x = 574,802.08 × 225,537.81
  4. Step 4: Simplify right side
    416,523.86x = 129,639,602,306.65
  5. Step 5: Solve for x
    x = 129,639,602,306.65/416,523.86
  6. Step 6: Final answer
    x = 311,241.72

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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.