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Finding the Fourth Proportional to 313,037.46, 431,980.02 and 169,792.74

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Solution

The fourth proportional to 313,037.46, 431,980.02 and 169,792.74 is: 234,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,037.46 : 431,980.02 = 169,792.74 : x
  2. Step 2: Convert to fraction form
    313,037.46/431,980.02 = 169,792.74/x
  3. Step 3: Cross multiply
    313,037.46x = 431,980.02 × 169,792.74
  4. Step 4: Simplify right side
    313,037.46x = 73,347,071,221.05
  5. Step 5: Solve for x
    x = 73,347,071,221.05/313,037.46
  6. Step 6: Final answer
    x = 234,307.65

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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.