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Finding the Fourth Proportional to 364,499.40, 546,749.10 and 222,781.80

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Solution

The fourth proportional to 364,499.40, 546,749.10 and 222,781.80 is: 334,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,499.40 : 546,749.10 = 222,781.80 : x
  2. Step 2: Convert to fraction form
    364,499.40/546,749.10 = 222,781.80/x
  3. Step 3: Cross multiply
    364,499.40x = 546,749.10 × 222,781.80
  4. Step 4: Simplify right side
    364,499.40x = 121,805,748,646.38
  5. Step 5: Solve for x
    x = 121,805,748,646.38/364,499.40
  6. Step 6: Final answer
    x = 334,172.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.