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Finding the Fourth Proportional to 505,032.27, 696,314.10 and 323,445.66

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Solution

The fourth proportional to 505,032.27, 696,314.10 and 323,445.66 is: 445,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,032.27 : 696,314.10 = 323,445.66 : x
  2. Step 2: Convert to fraction form
    505,032.27/696,314.10 = 323,445.66/x
  3. Step 3: Cross multiply
    505,032.27x = 696,314.10 × 323,445.66
  4. Step 4: Simplify right side
    505,032.27x = 225,219,773,641.81
  5. Step 5: Solve for x
    x = 225,219,773,641.81/505,032.27
  6. Step 6: Final answer
    x = 445,951.25

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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.