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Finding the Fourth Proportional to 282,984.38, 424,373.79 and 154,995.67

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Solution

The fourth proportional to 282,984.38, 424,373.79 and 154,995.67 is: 232,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,984.38 : 424,373.79 = 154,995.67 : x
  2. Step 2: Convert to fraction form
    282,984.38/424,373.79 = 154,995.67/x
  3. Step 3: Cross multiply
    282,984.38x = 424,373.79 × 154,995.67
  4. Step 4: Simplify right side
    282,984.38x = 65,776,098,850.55
  5. Step 5: Solve for x
    x = 65,776,098,850.55/282,984.38
  6. Step 6: Final answer
    x = 232,437.21

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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.