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Finding the Fourth Proportional to 359,403.55, 537,983.47 and 264,740.47

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Solution

The fourth proportional to 359,403.55, 537,983.47 and 264,740.47 is: 396,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,403.55 : 537,983.47 = 264,740.47 : x
  2. Step 2: Convert to fraction form
    359,403.55/537,983.47 = 264,740.47/x
  3. Step 3: Cross multiply
    359,403.55x = 537,983.47 × 264,740.47
  4. Step 4: Simplify right side
    359,403.55x = 142,425,996,700.03
  5. Step 5: Solve for x
    x = 142,425,996,700.03/359,403.55
  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.