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Finding the Fourth Proportional to 406,460.81, 560,915.94 and 222,700.16

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Solution

The fourth proportional to 406,460.81, 560,915.94 and 222,700.16 is: 307,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,460.81 : 560,915.94 = 222,700.16 : x
  2. Step 2: Convert to fraction form
    406,460.81/560,915.94 = 222,700.16/x
  3. Step 3: Cross multiply
    406,460.81x = 560,915.94 × 222,700.16
  4. Step 4: Simplify right side
    406,460.81x = 124,916,069,584.55
  5. Step 5: Solve for x
    x = 124,916,069,584.55/406,460.81
  6. Step 6: Final answer
    x = 307,326.23

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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.