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Finding the Fourth Proportional to 291,856, 402,761.28 and 157,720

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Solution

The fourth proportional to 291,856, 402,761.28 and 157,720 is: 217,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,856 : 402,761.28 = 157,720 : x
  2. Step 2: Convert to fraction form
    291,856/402,761.28 = 157,720/x
  3. Step 3: Cross multiply
    291,856x = 402,761.28 × 157,720
  4. Step 4: Simplify right side
    291,856x = 63,523,509,081.60
  5. Step 5: Solve for x
    x = 63,523,509,081.60/291,856
  6. Step 6: Final answer
    x = 217,653.60

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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.