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Finding the Fourth Proportional to 406,619.63, 561,136.40 and 225,334.54

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Solution

The fourth proportional to 406,619.63, 561,136.40 and 225,334.54 is: 310,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,619.63 : 561,136.40 = 225,334.54 : x
  2. Step 2: Convert to fraction form
    406,619.63/561,136.40 = 225,334.54/x
  3. Step 3: Cross multiply
    406,619.63x = 561,136.40 × 225,334.54
  4. Step 4: Simplify right side
    406,619.63x = 126,443,411,444.58
  5. Step 5: Solve for x
    x = 126,443,411,444.58/406,619.63
  6. Step 6: Final answer
    x = 310,962.39

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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.