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Finding the Fourth Proportional to 311,339.40, 467,009.10 and 153,875.40

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Solution

The fourth proportional to 311,339.40, 467,009.10 and 153,875.40 is: 230,813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,339.40 : 467,009.10 = 153,875.40 : x
  2. Step 2: Convert to fraction form
    311,339.40/467,009.10 = 153,875.40/x
  3. Step 3: Cross multiply
    311,339.40x = 467,009.10 × 153,875.40
  4. Step 4: Simplify right side
    311,339.40x = 71,861,212,066.14
  5. Step 5: Solve for x
    x = 71,861,212,066.14/311,339.40
  6. Step 6: Final answer
    x = 230,813.10

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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.