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Finding the Fourth Proportional to 290,345.12, 435,684 and 112,829.12

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Solution

The fourth proportional to 290,345.12, 435,684 and 112,829.12 is: 169,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,345.12 : 435,684 = 112,829.12 : x
  2. Step 2: Convert to fraction form
    290,345.12/435,684 = 112,829.12/x
  3. Step 3: Cross multiply
    290,345.12x = 435,684 × 112,829.12
  4. Step 4: Simplify right side
    290,345.12x = 49,157,842,318.08
  5. Step 5: Solve for x
    x = 49,157,842,318.08/290,345.12
  6. Step 6: Final answer
    x = 169,308.31

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