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Finding the Fourth Proportional to 282,882.54, 390,380.67 and 155,559

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Solution

The fourth proportional to 282,882.54, 390,380.67 and 155,559 is: 214,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,882.54 : 390,380.67 = 155,559 : x
  2. Step 2: Convert to fraction form
    282,882.54/390,380.67 = 155,559/x
  3. Step 3: Cross multiply
    282,882.54x = 390,380.67 × 155,559
  4. Step 4: Simplify right side
    282,882.54x = 60,727,226,644.53
  5. Step 5: Solve for x
    x = 60,727,226,644.53/282,882.54
  6. Step 6: Final answer
    x = 214,672.94

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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.