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Finding the Fourth Proportional to 290,336, 435,531.48 and 112,856.72

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Solution

The fourth proportional to 290,336, 435,531.48 and 112,856.72 is: 169,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,336 : 435,531.48 = 112,856.72 : x
  2. Step 2: Convert to fraction form
    290,336/435,531.48 = 112,856.72/x
  3. Step 3: Cross multiply
    290,336x = 435,531.48 × 112,856.72
  4. Step 4: Simplify right side
    290,336x = 49,152,654,289.55
  5. Step 5: Solve for x
    x = 49,152,654,289.55/290,336
  6. Step 6: Final answer
    x = 169,295.76

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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.