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Finding the Fourth Proportional to 290,162.30, 435,193.32 and 76,931.69

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Solution

The fourth proportional to 290,162.30, 435,193.32 and 76,931.69 is: 115,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,162.30 : 435,193.32 = 76,931.69 : x
  2. Step 2: Convert to fraction form
    290,162.30/435,193.32 = 76,931.69/x
  3. Step 3: Cross multiply
    290,162.30x = 435,193.32 × 76,931.69
  4. Step 4: Simplify right side
    290,162.30x = 33,480,157,584.31
  5. Step 5: Solve for x
    x = 33,480,157,584.31/290,162.30
  6. Step 6: Final answer
    x = 115,384.24

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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.