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Finding the Fourth Proportional to 311,903.14, 430,416.62 and 175,935.10

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Solution

The fourth proportional to 311,903.14, 430,416.62 and 175,935.10 is: 242,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,903.14 : 430,416.62 = 175,935.10 : x
  2. Step 2: Convert to fraction form
    311,903.14/430,416.62 = 175,935.10/x
  3. Step 3: Cross multiply
    311,903.14x = 430,416.62 × 175,935.10
  4. Step 4: Simplify right side
    311,903.14x = 75,725,391,081.36
  5. Step 5: Solve for x
    x = 75,725,391,081.36/311,903.14
  6. Step 6: Final answer
    x = 242,784.96

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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.