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Finding the Fourth Proportional to 359,403.56, 537,983.46 and 264,740.48

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Solution

The fourth proportional to 359,403.56, 537,983.46 and 264,740.48 is: 396,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,403.56 : 537,983.46 = 264,740.48 : x
  2. Step 2: Convert to fraction form
    359,403.56/537,983.46 = 264,740.48/x
  3. Step 3: Cross multiply
    359,403.56x = 537,983.46 × 264,740.48
  4. Step 4: Simplify right side
    359,403.56x = 142,425,999,432.46
  5. Step 5: Solve for x
    x = 142,425,999,432.46/359,403.56
  6. Step 6: Final answer
    x = 396,284.33

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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.