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Finding the Fourth Proportional to 406,753.34, 561,307.44 and 222,985.63

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Solution

The fourth proportional to 406,753.34, 561,307.44 and 222,985.63 is: 307,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,753.34 : 561,307.44 = 222,985.63 : x
  2. Step 2: Convert to fraction form
    406,753.34/561,307.44 = 222,985.63/x
  3. Step 3: Cross multiply
    406,753.34x = 561,307.44 × 222,985.63
  4. Step 4: Simplify right side
    406,753.34x = 125,163,493,858.95
  5. Step 5: Solve for x
    x = 125,163,493,858.95/406,753.34
  6. Step 6: Final answer
    x = 307,713.50

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1.5x scale

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.