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Finding the Fourth Proportional to 493,464, 680,980.32 and 267,111.12

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Solution

The fourth proportional to 493,464, 680,980.32 and 267,111.12 is: 368,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,464 : 680,980.32 = 267,111.12 : x
  2. Step 2: Convert to fraction form
    493,464/680,980.32 = 267,111.12/x
  3. Step 3: Cross multiply
    493,464x = 680,980.32 × 267,111.12
  4. Step 4: Simplify right side
    493,464x = 181,897,415,973.16
  5. Step 5: Solve for x
    x = 181,897,415,973.16/493,464
  6. Step 6: Final answer
    x = 368,613.35

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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.