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Finding the Fourth Proportional to 282,985.38, 424,375.29 and 154,996.67

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Solution

The fourth proportional to 282,985.38, 424,375.29 and 154,996.67 is: 232,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,985.38 : 424,375.29 = 154,996.67 : x
  2. Step 2: Convert to fraction form
    282,985.38/424,375.29 = 154,996.67/x
  3. Step 3: Cross multiply
    282,985.38x = 424,375.29 × 154,996.67
  4. Step 4: Simplify right side
    282,985.38x = 65,776,756,780.28
  5. Step 5: Solve for x
    x = 65,776,756,780.28/282,985.38
  6. Step 6: Final answer
    x = 232,438.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.