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Finding the Fourth Proportional to 416,416.42, 574,656.50 and 225,429.80

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Solution

The fourth proportional to 416,416.42, 574,656.50 and 225,429.80 is: 311,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,416.42 : 574,656.50 = 225,429.80 : x
  2. Step 2: Convert to fraction form
    416,416.42/574,656.50 = 225,429.80/x
  3. Step 3: Cross multiply
    416,416.42x = 574,656.50 × 225,429.80
  4. Step 4: Simplify right side
    416,416.42x = 129,544,699,863.70
  5. Step 5: Solve for x
    x = 129,544,699,863.70/416,416.42
  6. Step 6: Final answer
    x = 311,094.12

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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.