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Finding the Fourth Proportional to 406,103.06, 560,415.51 and 224,811.26

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Solution

The fourth proportional to 406,103.06, 560,415.51 and 224,811.26 is: 310,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,103.06 : 560,415.51 = 224,811.26 : x
  2. Step 2: Convert to fraction form
    406,103.06/560,415.51 = 224,811.26/x
  3. Step 3: Cross multiply
    406,103.06x = 560,415.51 × 224,811.26
  4. Step 4: Simplify right side
    406,103.06x = 125,987,716,926.64
  5. Step 5: Solve for x
    x = 125,987,716,926.64/406,103.06
  6. Step 6: Final answer
    x = 310,235.82

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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.