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Finding the Fourth Proportional to 359,189.46, 537,968.61 and 278,580.33

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Solution

The fourth proportional to 359,189.46, 537,968.61 and 278,580.33 is: 417,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,189.46 : 537,968.61 = 278,580.33 : x
  2. Step 2: Convert to fraction form
    359,189.46/537,968.61 = 278,580.33/x
  3. Step 3: Cross multiply
    359,189.46x = 537,968.61 × 278,580.33
  4. Step 4: Simplify right side
    359,189.46x = 149,867,472,903.44
  5. Step 5: Solve for x
    x = 149,867,472,903.44/359,189.46
  6. Step 6: Final answer
    x = 417,237.95

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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.