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Finding the Fourth Proportional to 406,466.84, 560,924.24 and 222,706.16

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Solution

The fourth proportional to 406,466.84, 560,924.24 and 222,706.16 is: 307,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,466.84 : 560,924.24 = 222,706.16 : x
  2. Step 2: Convert to fraction form
    406,466.84/560,924.24 = 222,706.16/x
  3. Step 3: Cross multiply
    406,466.84x = 560,924.24 × 222,706.16
  4. Step 4: Simplify right side
    406,466.84x = 124,921,283,541.32
  5. Step 5: Solve for x
    x = 124,921,283,541.32/406,466.84
  6. Step 6: Final answer
    x = 307,334.50

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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.