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Finding the Fourth Proportional to 334,445.10, 461,678.22 and 205,404.50

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Solution

The fourth proportional to 334,445.10, 461,678.22 and 205,404.50 is: 283,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,445.10 : 461,678.22 = 205,404.50 : x
  2. Step 2: Convert to fraction form
    334,445.10/461,678.22 = 205,404.50/x
  3. Step 3: Cross multiply
    334,445.10x = 461,678.22 × 205,404.50
  4. Step 4: Simplify right side
    334,445.10x = 94,830,781,631.60
  5. Step 5: Solve for x
    x = 94,830,781,631.60/334,445.10
  6. Step 6: Final answer
    x = 283,546.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.