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Finding the Fourth Proportional to 334,506.20, 461,444.20 and 205,473.76

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Solution

The fourth proportional to 334,506.20, 461,444.20 and 205,473.76 is: 283,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,506.20 : 461,444.20 = 205,473.76 : x
  2. Step 2: Convert to fraction form
    334,506.20/461,444.20 = 205,473.76/x
  3. Step 3: Cross multiply
    334,506.20x = 461,444.20 × 205,473.76
  4. Step 4: Simplify right side
    334,506.20x = 94,814,674,804.19
  5. Step 5: Solve for x
    x = 94,814,674,804.19/334,506.20
  6. Step 6: Final answer
    x = 283,446.69

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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.