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Finding the Fourth Proportional to 311,666.40, 430,112.16 and 175,705.38

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Solution

The fourth proportional to 311,666.40, 430,112.16 and 175,705.38 is: 242,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,666.40 : 430,112.16 = 175,705.38 : x
  2. Step 2: Convert to fraction form
    311,666.40/430,112.16 = 175,705.38/x
  3. Step 3: Cross multiply
    311,666.40x = 430,112.16 × 175,705.38
  4. Step 4: Simplify right side
    311,666.40x = 75,573,020,515.42
  5. Step 5: Solve for x
    x = 75,573,020,515.42/311,666.40
  6. Step 6: Final answer
    x = 242,480.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.