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Finding the Fourth Proportional to 406,070.98, 560,392.89 and 222,322.42

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Solution

The fourth proportional to 406,070.98, 560,392.89 and 222,322.42 is: 306,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,070.98 : 560,392.89 = 222,322.42 : x
  2. Step 2: Convert to fraction form
    406,070.98/560,392.89 = 222,322.42/x
  3. Step 3: Cross multiply
    406,070.98x = 560,392.89 × 222,322.42
  4. Step 4: Simplify right side
    406,070.98x = 124,587,903,455.59
  5. Step 5: Solve for x
    x = 124,587,903,455.59/406,070.98
  6. Step 6: Final answer
    x = 306,813.12

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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.